(-1/(x+2) + 1/2)/x
= ((-2+x+2)/(2(x+2)))/x
= (x/(2(x+2)))/x
= 1/(2(x+2))
= 1/4 as x->0
No tricks here; just a little algebra
lim([-1/(x+2)]+1/2)/x as x->0
2 answers
top and bottom both go to 0
try l'hopital
derivative of top = 1(1)/(x+2)^2 --->1/4
derivative of bottom = 1
1/4 / 1 = 1/4
try l'hopital
derivative of top = 1(1)/(x+2)^2 --->1/4
derivative of bottom = 1
1/4 / 1 = 1/4