Question

Limits question :-

Answer 1

\[\lim_{x \rightarrow 0} \frac{(x+1)^5-1}{x}\]

Answer 2

Saweet. What do you get when you plug in 0 for x?

Answer 3

lol :P I know that much at least :P
It's 0/0 form so we need to solve it further..
i'm just not getting how to solve it though :P

Answer 4

Right. We will have to use L'Hopital's Rule. We can find a limit of an indeterminate form, like 0/0.

Answer 5

Wait, Isn't L'Holpital's rule applicable in case of integrals?

Answer 6

What you wanna do is find the derivative of the numerator and the denominator separately. Then, find the limit as x approaches 0 again.

Answer 7

Hmm, not to my knowledge.

Answer 8

Oh :P
*lack of knowledge*

Answer 9

By the way, @iPwnBunnies- Thanks for the help buddy, Just got the answer ..
I was pretty close anyways :P

Answer 10

Did you do what I told you to, or nah?

Answer 11

Nah :P
Did it the simpler way by expanding it..

Answer 12

What'd you get? I did it in my head.

Answer 13

5

Answer 14

Expanding? o.o That's not easier than taking derivatives of the top and bottom.

Answer 15

But good.

Answer 16

and yeah, actually .. derivative is easier, could do it in my head :P
5, it is

Answer 17

It shall be.