Finding the limit of sin(x-7)/(x²+2x-63) as x approaches 7

[Murph84]

I realize this question will probably be too easy for people who are good at it.

But I can't figure this out.

I'm trying to find the limit for

lim x→7 (sin(x − 7))/(x2 + 2x − 63)

Sorry, I don't know how to make it look like the proper equation.

Thanks for any help...

 

[lanedance]

welcome to PF!

now what have you tried, or what relevant equations/theorems do you know?