Mathematics

Mathematics

Problem

Compute lim⁡x→−2−x−1(x+2)(x−4)\displaystyle\lim_{x\to -2^-}\frac{x-1}{(x+2)(x-4)} and lim⁡x→−2+x−1(x+2)(x−4)\displaystyle\lim_{x\to -2^+}\frac{x-1}{(x+2)(x-4)}. Then classify the discontinuity at x=−2x=-2 as removable or non-removable.

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