Question

lim(x+2)/(x^3+8)
x-2

Answer 1

\[\lim \rightarrow 2\]

Answer 2

This?
\[\lim_{x \rightarrow -2} \frac{x+2}{x^3 + 8} \]
Gotta use l'Hopitals.
\[Let\ g = x+2 \implies g' = 1\]
\[Let\ f = x^3+8 \implies f' = 3x^2\]
\[\lim_{x \rightarrow -2} \frac{g}{f} = \lim_{x \rightarrow -2} \frac{g'}{f'} = \lim_{x \rightarrow -2}\frac{1}{3x^2} = \frac{1}{12}\]

Answer 3

yeah thnx a bunch:)