# Thread: How do you use continuity to evaluate the limit?

1. ## How do you use continuity to evaluate the limit?

2. Does ANYBODY know?

3. Your problem is trivial, you can just evaluate as written.

4. "Using continuity" just means that you recognize that the function is continuous at $x=\pi$ and therefore the limit can be evaluated by simple substitution.

5. So, the answer is 0???

6. $
\lim_{x \to \pi} \; \sin(x+\sin(x))
~=~ \sin(\pi+\sin(\pi))
~=~ \dots$

Does it make sense now?