Question

Evaluate the limit. (If you need to use - or , enter -INFINITY or INFINITY.)

lim x +sin(x)/(2x+cos(x))
as x goes to 0.

Answer 1

I assume the limit required is:

lim x->0 [(x +sin(x))/(2x+cos(x))]
In any case, the first step is to substitute x=0 in the expression to get:
Lim = [(0+0)/(2*0+1)]
= 1
So we're done, since the expression is defined.