Question

How do you evaluate `(1/t-1/9)/(t-9)` as t approaches 9?

Answer 1

`-1/81`

Explanation:

`(1/t-1/9)/(t-9) = ((9-t)/(9t))/(t-9) = -1/(9t)` then

`lim_(t->9)(1/t-1/9)/(t-9) =-1/81`