Limits at infinity of trigometric function

[Willian93]

Homework Statement

lim (x→pi)〖sin(x-pi)/(x-pi)〗

Homework Equations

i don't know if we should use trig identity

sin(a-b)= sinA cos B- CosA sin B

The Attempt at a Solution

i use identities to solve that, i did not get the answer. i tried to multiply by conjugate, did not work also.

 

[vela]

Think about the squeeze theorem.

 

[Bohrok]

You could use a substitution, u = x - $\pi$, and that limit should be familiar.