Find the limits:

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

lim (e^-x)cos x as x->infinity

...First off, I'm having trouble getting rid of complex fractions. I tried multiplying the whole numerator by [(2+x)/2], but you'd still get 0/undefined answer (the answer in the back of my book is -1/4)

...As for the second one, my guess is zero, since cosine of infinity would eventually reach zero.

(i need more help with the first one rather than the second)

Help please?

Thanks much!