Question

How do you evaluate `(x-7)/(x^2-49)` as x approaches 7?

Answer 1

`lim_(x->7) (x-7)/(x^2-49)` can be rewritten as

`lim_(x->7) cancel((x-7))/(cancel((x-7))(x+7)) = lim_(x->7) (1)/(x+7)=1/14`