Question

Find the limit(if it exists)

As lim as x goes to 10 of 10-x/x^2-100

Answer 1

\[\lim_{x \rightarrow 10}\frac{-(x-10)}{(x-10)(x+10)}\]

Answer 2

\[\lim_{x \rightarrow 10} \frac{-1}{x+10}\]

Answer 3

so the answer is -1/20? or infinity?

Answer 4

the function -1/(x+10) is continuous at x=10, so you can just substitute. Where would infinity come from now?

Answer 5

x goes to -10 would be a different story

Answer 6

Okay Thank You guys. Not sure why I said infinity