Evaluating limits
posted by mike .
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.

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.