Let for . Does the graph of have a vertical asymptote at ? Briefly justify your…

MATHEMATICS · Subjective · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

Let

g(x)=\dfrac{(x-2)\sin(x-2)}{x-2}

for

x\ne 2

. Does the graph of

g

have a vertical asymptote at

x=2

? Briefly justify your answer.