Mathematics

Problem

Identify every vertical asymptote of

r(x)=\frac{x+1}{x(x-2)^2}

. For each asymptote

c

, state the values of

\displaystyle\lim_{x\to c^-}r(x)

and

\displaystyle\lim_{x\to c^+}r(x)

, using

+\infty

-\infty