Evaluate the following limits:lim [(3√x- 3√7) (3√x + 3√7)/x-7] (x ∈ 7)

Question

Evaluate the following limits:

\(\lim\limits_{x\longrightarrow7}[\frac{(\sqrt[3]x-\sqrt [3]7) (\sqrt[3]x+\sqrt[3]7)}{x-7}] \)

lim [(3√x- 3√7) (3√x + 3√7)/x-7] (x ∈ 7) 

Answer 1

\(\lim\limits_{x\longrightarrow7}[\frac{(\sqrt[3]x-\sqrt [3]7) (\sqrt[3]x+\sqrt[3]7)}{x-7}] \)