1. ****in sucks brah. Hard way to learn a lesson about a specific prof. At least now you know to do everything exactly his way.
You could always take it up with the dean, I mean, a right answer is a right answer! amirite?!?! 2. So... And since you can interchange the sum and integral we get... Now since k is an integer you'll find that when you integrate cos(kx) between 0 and pi it should come out to be 0 leaving the answer as pi.
thanks for the help. i remembered the last line of that right after i started doing it. thanks man 3. ****in sucks brah. Hard way to learn a lesson about a specific prof. At least now you know to do everything exactly his way.
You could always take it up with the dean, I mean, a right answer is a right answer! amirite?!?!
Thing is I've had him for two algebra classes before and he wasn't even near this bad. I made an A in his class in the spring, I had to bust my ass for it, but it wasn't this crazy.

I can see how me getting the right answer with no work done would merit me not getting credit, but it was pretty ****ing obvious that I knew the concept and how to use it.

If I don't get at least a B I'm definitely taking it up with the dean. I requested a copy of this test because we had to turn them back for some reason. Hopefully I can show it to him.

And for reference, all points where where the slope of f(x) = 0 is the same where f'(x) = 0, right? 4. yes u cannot divide by zero

i said it at first then tried to get myself to change the answer to agree with you guys but then i realized im in vector calculus if i don't know this **** then thats bad lol 5. And for reference, all points where where the slope of f(x) = 0 is the same where f'(x) = 0, right?
yes that is the definition of a derivative 6. yes u cannot divide by zero

i said it at first then tried to get myself to change the answer to agree with you guys but then i realized im in vector calculus if i don't know this **** then thats bad lol
Wtf man?

How come I didn't learn this in my calc class?

What if 0/0 = one? **** would be crazy. 7. Wtf man?

How come I didn't learn this in my calc class?

What if 0/0 = one? **** would be crazy.
lol should have learned that in pre-calc brah. if 0/0=1 that would also imply that infinity/infinity=1

you will learn towards the endish when you talk about l'hopital's rule why it is important. (although you don't use it in this situation i don't know why i brought it up in the other thread) 8. Wtf man?

How come I didn't learn this in my calc class?

What if 0/0 = one? **** would be crazy.
What if 1/1=0? **** would also be crazy. 9. lol should have learned that in pre-calc brah. if 0/0=1 that would also imply that infinity/infinity=1

you will learn towards the endish when you talk about l'hopital's rule why it is important. (although you don't use it in this situation i don't know why i brought it up in the other thread)
I know that x/0 = undefined, but I always thought that 0/0 was just 0.

I learned in statistics today that 0! is 1. That's pretty weird too. lol. 10. Ok...

I'm having a mind melt down trying to sort this all out.

I'll just rip this off wiki. My knowledge of continuous functions isn't solid so hopefully MiscMath can sort this out.

If two functions f and g are continuous, then f + g, fg, and f/g are continuous. (Note. The only possible points x of discontinuity of f/g are the solutions of the equation g(x) = 0; but then any such x does not belong to the domain of the function f/g. Hence f/g is continuous on its entire domain, or - in other words - is continuous.)

But what I'm thinking is...

Say you have some function. f(x) = x. Pretty obvious this is continuous.

But do we change this into a discontinuous function by multiplying by .

It doesn't seem to make much sense to me... Are x and different functions? 11. It doesn't seem to make much sense to me... Are x and different functions?
Yes. Both are straight lines with a slope of 1, but x^2 / x has a removable discontinuity at the origin. 12. I know that x/0 = undefined, but I always thought that 0/0 was just 0.

I learned in statistics today that 0! is 1. That's pretty weird too. lol.
yea man if 0! didn't equal 1 then no probabilities would make sense. i think it's just the way 0! is defined 13. yea man if 0! didn't equal 1 then no probabilities would make sense. i think it's just the way 0! is defined
Yeah, that's what I was reading on the internetz. Pretty interesting. 14. So then is every rational function with the denominator able to equal to zero discontinuous at the point where the denominator is 0? 15. So then is every rational function with the denominator able to equal to zero discontinuous at the point where the denominator is 0?
yes sir 16. Yeah, that's what I was reading on the internetz. Pretty interesting.
A quick not very rigorous proof.

n! = n(n-1)!

=> (n-1)! = n!/n

Set n=1

0! = 1!/1 = 1

Hence 0! = 1 17. That's so weird. I've never learned that. Ridiculous. 18. A quick not very rigorous proof.

n! = n(n-1)!

=> (n-1)! = n!/n

Set n=1

0! = 1!/1 = 1

Hence 0! = 1
Very nice. That's pretty cool. 19. Got a 65% on mine and the class average was a 67%. No one got an A, 3 got a B, 3 got a C, 3 got a D, and 6 got Fs.
I think we had 2 perfect As, the rest were Bs-Fs, lots of Ds and Fs. I think like 1/3rd the class was missing today. Guessing they dropped.

Wtf man?

How come I didn't learn this in my calc class?

What if 0/0 = one? **** would be crazy. 20. I think we had 2 perfect As, the rest were Bs-Fs, lots of Ds and Fs. I think like 1/3rd the class was missing today. Guessing they dropped.

Hell yeah, a lot of my class probably won't show up on Tuesday. Drizzopped.

And yeah, I'm aware of the whole dividing by zero thing. It just seems weird that 0/0 would even be dividing by zero because 0 isn't anything. So you're not really dividing anything by zero. 21. And yeah, I'm aware of the whole dividing by zero thing. It just seems weird that 0/0 would even be dividing by zero because 0 isn't anything. So you're not really dividing anything by zero.
Yea I don't really get it either.

1/0 = Should still be 1 because you're dividing by nothing, so you still have the whole thing that you're dividing.
0/2 = Shouldn't be possible because how can you divide nothing by something? Doesn't make sense.

Dunno, weird logic. 22. Yea I don't really get it either.

1/0 = Should still be 1 because you're dividing by nothing, so you still have the whole thing that you're dividing.
0/2 = Shouldn't be possible because how can you divide nothing by something? Doesn't make sense.

Dunno, weird logic.
Something wrong with the way youre thinking about this. If you split a dollar between no people, how much money to they get? Doesn't make sense, there is no "they".

Mathematically, if 1/0 is not 0, then all numbers are equal. Proof: Exercise . You can define a system of numbers with this property, but it isn't very interesting.

0/2? If john and Alice make x dollars and split it, they each get x/2 dollars. They end up getting 0/2 dollars a piece. But since they made a total of 0 dollars, 0/2=0. 23. Something wrong with the way youre thinking about this. If you split a dollar between no people, how much money to they get? Doesn't make sense, there is no "they".

Mathematically, if 1/0 is not 0, then all numbers are equal. Proof: Exercise . You can define a system of numbers with this property, but it isn't very interesting.

0/2? If john and Alice make x dollars and split it, they each get x/2 dollars. They end up getting 0/2 dollars a piece. But since they made a total of 0 dollars, 0/2=0.
What do you get when you divide something by nothing?
1/0 = 1
2/0 = 2
3/0 = 3
You get exactly what you started out with, because you haven't divided it by anything. There's nothing to divide the original number by, so it's still a whole number.

What do you get when you divide 0 by something? You can't because there wasn't anything to divide in the first place. It's impossible.

These 2 rules really need to be switched. 24. What do you get when you divide something by nothing?
1/0 = 1
2/0 = 2
3/0 = 3
You get exactly what you started out with, because you haven't divided it by anything. There's nothing to divide the original number by, so it's still a whole number.

What do you get when you divide 0 by something? You can't because there wasn't anything to divide in the first place. It's impossible.

These 2 rules really need to be switched.
You can't be serious. Division is the inverse of multiplication. 0/2 should return what you have to multiply 2 by to return 0. That would be 0. 2/0 should return what you have to multiply 0 by to return 2. There's nothing big enough, so it's infinite. 25. You can't be serious. Division is the inverse of multiplication. 0/2 should return what you have to multiply 2 by to return 0. That would be 0. 2/0 should return what you have to multiply 0 by to return 2. There's nothing big enough, so it's infinite.
If I cut 1 pizza into 0 slices, and eat them, how much pizza do I have left? I end up with 1 whole pizza and I'm still hungry.

Also, I can't cut a pizza into slices that I don't have, it's impossible to do. 26. If I cut 1 pizza into 0 slices, and eat them, how much pizza do I have left? I end up with 1 whole pizza and I'm still hungry.

Also, I can't cut a pizza into slices that I don't have, it's impossible to do.
When you're dividing by numbers smaller than 1, you can't think of it as dividing up the pizza. I wish I could take a pizza, decide I'm cutting it into half a slice, and wind up with 2 pizzas. That would rule. Think of it like this.

How many slices of size 0.5 can you pull out of the pizza? 2. 1/0.5 = 2.
How many slices of size 0.1 can you pull out of the pizza? 10. 1/0.1 = 10.
How many slices of size 0 can you pull out of the pizza? As many as you want. Go for the rest of your life if you want. And that's why it's infinite. 27. the **** is going on in here? 28. How many slices of size 0 can you pull out of the pizza? As many as you want. Go for the rest of your life if you want. And that's why it's infinite.
So dividing by 0 is possible, 1/0 = infinite.

lol 29. So dividing by 0 is possible, 1/0 = infinite.
As possible as infinite is, anyways. 30. If I cut 1 pizza into 0 slices, and eat them, how much pizza do I have left? I end up with 1 whole pizza and I'm still hungry.

Also, I can't cut a pizza into slices that I don't have, it's impossible to do.
If you have a pizza and cut it into zero slices? A pizza already is "one slice." So then, you couldn't have it to being with if is cut into 0 slices. Secondly when you add up all your parts of the "pizza" (mathematicians would call this a partition) you need to get back the whole "pizza". If 1 pizza is divided into 0 slices, this means that you now HAVE 0 slices of pizza. So adding up all 0 slices should give you what you started with... Again, it makes no sense.

So dividing by 0 is possible, 1/0 = infinite.
No, but the limit as x approaches 0 of 1/x^2 is infinity. "1/0 = infinity" is okay for calculus I suppose, but I wouldn't write it, just think it. Here's one example: what is the limit as x goes to 0 of 1/x? Its not infinity. #### Posting Permissions

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