Question

lim x is 4. (x+4)^2 (x-9)/ (x-4) (x+4)^2

Answer 1

\[\large \lim_{x \rightarrow 4} {(x+4)^2 (x-9)\over (x-4) (x+4)^2}\]

are you sure it's as x goes to 4 and not -4 ??

the limit does not exist .

it is different from the right side and from the left.
http://www.wolframalpha.com/input/?i=limit+x+to+4%2C+%28x-9%29%2F%28x-4%29

Answer 2

Its not a negative . Thanks for clearing that up !