Question

Analysis:
Use infinite series to show that the integral converges.

Answer 1

\[\huge \int\limits_{1}^{\infty} {dx \over \sqrt{x(x-1/3)(x+2)} }\]

Answer 2

Would i just use a taylor expansion an expand the series:
\[\huge {1 \over \sqrt{x(x-1/3)(x+2)}}\]