Posted by **mike** on Monday, December 6, 2010 at 8:31pm.

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.

- Evaluating limits -
**MathMate**, Monday, December 6, 2010 at 8:47pm
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.

## Answer This Question

## Related Questions

- CALCULUS LIMITS - What is the following limit? lim as n goes to infinity of (pi/...
- Calc. Limits - Are these correct? lim x->0 (x)/(sqrt(x^2+4) - 2) I get 4/0...
- Pre-cal - Please determine the following limits if they exist. If the limit does...
- CALCULUS - What is the following limit? lim as n goes to infinity of (pi/n) (sin...
- Calculus - What is the following limit? lim as n goes to infinity of (pi/n) (sin...
- MATH - I have been trying to do this problem for a couple of days but i cant ...
- Calculus - Find the horizontal asymptote of f(x)=e^x - x lim x->infinity (e^x...
- calc - Are these correct? lim x->0 (x)/(sqrt(x^2+4) - 2) I get 4/0= +/- ...
- Calculus, please check my answers! - 1. Evaluate: lim x->infinity(x^4-7x+9)/(...
- Math - 1. If -1/infinity = infinity or -infinity ? 2. If lim x->infinity^- = ...

More Related Questions