# Limits Question

1. Oct 26, 2005

### powp

Hello

can someone help me with this question??

Use continuity to evaluate the limit:

lim x->PI Sin(x + Sin x)

thanks

2. Oct 26, 2005

### Galileo

a) Is that function continuous?
b) What is definition of continuity?
Combine the two and the answer is trivial.

3. Oct 26, 2005

### powp

I belive that this function is continus within its domain because it is a algebaric and trig function.

But where do I go from here. If I plug Pi in to the function I get 0.00

4. Oct 26, 2005

### powp

sorry I get 0.05575

5. Oct 26, 2005

### Zurtex

What is $\sin \pi$? I think you'll find your calc is in degrees not radians.

6. Oct 26, 2005

### Jameson

Let f(x)=x+sin(x), and let g(x)=sin(x). What is g(f(x))?