List of top Statistics Questions on Sequences and Series

In the Taylor series expansion of function $f(x)=e^{x^{2}-x}$, coefficient of $x^{3}$ is

The Sum $\sum_{r=1}^{20}(r^{2}+1)\times r!$ is equal to

Value of $\sum_{n=0}^{\infty}\frac{2}{(2n+1)(2n+3)}$ is

The sequence \(\{a_n = \frac{1}{n^2}; n>0\}\) is

The values of 'm' for which the infinite series,
\(\sum \frac{\sqrt{n+1}+\sqrt{n}}{n^m}\) converges, are:

The limit of the sequence,
\(\{b_n; b_n = \frac{n^n}{(n+1)(n+2)...(n+n)}; n>0\}\), is