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

Question

sleepyhead314 · Answer

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? :)

sleepyhead314 · Answer

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

anonymous · Answer

The second one 1/(x+2)

sleepyhead314 · Answer

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

anonymous · Answer

Okay

sleepyhead314 · Answer

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 :)

sleepyhead314 · Answer

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

anonymous · Answer

Okay I will thank you