Question

What is the limit as x approaches zero of 1/x +2 - 1/2 over x?

Answer 1

Hello and Welcome to OpenStudy! :)
would you mind adding a few parenthesis in there to allow me to understand what you are asking better please? :)

Answer 2

like do you mean 1/x +2
or 1/(x+2) ?

Answer 3

The second one 1/(x+2)

Answer 4

mmm okay :)
so do you know how to simplify (1/(x+2) - (1/2)) / x ?
like first multiply top and bottom by (2(x+2)) to get rid of the fraction on top of fraction

Answer 5

Okay

Answer 6

from there you can probably cancel out an x
and you don't have to worry about hole since this is a limit problem
then after canceling out the x, you should be able to plug in 0 and get a real number answer :)

Answer 7

if you get stuck anywhere, or are confused just tell me :)

Answer 8

Okay I will thank you