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find $lim_{x ightarrow2}(f(x)g(x))$. choose 1 answer: (a) 0 (b) 2 (c) 4…

Question

find $lim_{x
ightarrow2}(f(x)g(x))$. choose 1 answer: (a) 0 (b) 2 (c) 4 (d) 8 (e) the limit doesnt exist.

Explanation:

Step1: Find limₓ→2 f(x)

From f(x)'s graph, as x→2, f(x) approaches 0.

Step2: Find limₓ→2 g(x)

From g(x)'s graph, as x→2, g(x) approaches 0.

Step3: Compute product of limits

limₓ→2 [f(x)g(x)] = 0 * 0 = 0

Answer:

A. 0