Question

Evaluate limx -9 (81+x^4)/(9+x)

Answer 1

what happens if you replace \(x\) by \(-9\)?

Answer 2

Is that all I have to do?

Answer 3

depends on what you get

Answer 4

If I replace x by -9 I would have a division by zero
and that would give me an error

Answer 5

the important thing to check is whether the numerator is zero also
if it is, you have more work to do
if it is not, then there is no limit

Answer 6

The numerator is not zero, so does it mean there's no limit?

Answer 7

My answer then, are the numbers I get and that there's no limit?

Answer 8

yes, no limit