Question

Determine if the integral is convergent or divergent. If it is convergent, evaluate.

Integral from 0 to 2 1/(x-2)^2

Answer 1

converges to zero ?

Answer 2

i would say diverges to -infinity

Answer 3

it diverges

Answer 4

\[\int\limits_{0}^{2}\frac{1}{(x-2)^{2}} = -\frac{1}{x-2} from 0->2\]
\[= -\infty - \frac{1}{2}\]
thus diverges