Question

# Does the following improper integral converge? \int_{-\infty}^{0}\frac{1}{(x-2)^{3}}dx

Applications of integrals
$$\displaystyle{\int_{{-\infty}}^{{{0}}}}{\frac{{{1}}}{{{\left({x}-{2}\right)}^{{{3}}}}}}{\left.{d}{x}\right.}$$