# [SOLVED] Limits

• Mar 3rd 2009, 08:50 PM
>_<SHY_GUY>_<
[SOLVED] Limits
Im stuck on what to do in order to get rid of the fraction in the numerator:

lim x->0 [(1)/(2+x) - (1)/(2)] / x

do i multiply by 2+x? how?
• Mar 3rd 2009, 09:02 PM
mr fantastic
Quote:

Originally Posted by >_<SHY_GUY>_<
Im stuck on what to do in order to get rid of the fraction in the numerator:

lim x->0 [(1)/(2+x) - (1)/(2)] / x

do i multiply by 2+x? how?

Note that $\frac{1}{2 + x} - \frac{1}{2} = \frac{2 - (2 + x)}{2(2 + x)} = -\frac{x}{2(2 + x)}$.
• Mar 3rd 2009, 09:13 PM
>_<SHY_GUY>_<
oh! thank you so much...i get it now :]