Compute and . Then classify the discontinuity at as removable or…

MATHEMATICS · Subjective · CBSE · Mathematics · Limits and Derivatives · Limits and Derivatives

Problem

Compute

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

and

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

. Then classify the discontinuity at

x=-2

as removable or non-removable.