Question

I need help with a limit
limit as x approaches 0

Answer 1

\[\frac{ \frac{ 1 }{ x+3 } -\frac{ 1 }{ 3 }}{ x }\]

Answer 2

I haven't had a chance to do this problem at all. I forgot how to input this in wolframalpha.

Answer 3

thats same as the derivative of 1/(x+3) at x=0

Answer 4

-1/9 ?

Answer 5

Yep!
http://www.wolframalpha.com/input/?i=lim+x-%3E0+%5Cfrac%7B+%5Cfrac%7B+1+%7D%7B+x%2B3+%7D+-%5Cfrac%7B+1+%7D%7B+3+%7D%7D%7B+x+%7D

Answer 6

You are so awesome :) You made my day :)

Answer 7

no, you're awesome :)

\[f'(a) = \lim\limits_{x\to a}~\dfrac{f(x) - f(0)}{x-a}\]

we plugin \(a=0, ~f(x) = \frac{1}{x+3}\)