Find-the-limit-off-x-x-4-x-2-x-2-4-

Question Number 25280 by NECx last updated on 07/Dec/17

F i n d t h e l i m i t o f f (x) \underset{x \to 4}{} = (\frac{x + 2}{x^{2} - 4})

Answered by Rasheed.Sindhi last updated on 07/Dec/17

Since limit of the denominator \neq 0

So

\lim_{x \to 4} \frac{x + 2}{x^{2} - 4} = \frac{\lim_{x \to 4} (x + 2)}{\lim_{x \to 4} (x^{2} - 4)} = \frac{4 + 2}{16 - 4} = \frac{1}{2}