## j814wong 2 years ago Limit of (sin(x-5))/((X^2)-25) when x approaches 5.

1. satellite73

$\frac{\sin(x-5)}{(x+5)(x-5)}=\frac{\sin(x-5)}{x-5}\times \frac{1}{x+5}$ is a start

2. j814wong

Ok so then I get lim x -> 5 ((sin(x-5))/(x-5)) * lim x -> 5 (1/(x+5)) then lim x -> 5 ((sin(x-5))/(x-5)) * (1/10)