a) Show that the series $\sum \left[\sqrt{(n^3+1)} - \sqrt{n^3}\right…

Previous year question for Engineering Mathematics-II.

Question

a) Show that the series $\sum \left[\sqrt{(n^3+1)} - \sqrt{n^3}\right]$ is convergent.

b) Discuss the convergence of the series $\sum \frac{1}{(\log n)^p}$.

c) State Liebnitz test on alternating series.