Identify every vertical asymptote of

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

Problem

Identify every vertical asymptote of r(x)=x+1x(x−2)2r(x)=\frac{x+1}{x(x-2)^2}. For each asymptote cc, state the values of lim⁡x→c−r(x)\displaystyle\lim_{x\to c^-}r(x) and lim⁡x→c+r(x)\displaystyle\lim_{x\to c^+}r(x), using +∞+\infty or −∞-\infty.

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