List of top Mathematics Questions on Series asked in MET

The sum of the series \(\frac{3}{4 \times 8} - \frac{3 \times 5}{4 \times 8 \times 12} + \frac{3 \times 5 \times 7}{4 \times 8 \times 12 \times 16} - \cdots\) is

\(1 + \frac{2}{2!} + \frac{3}{3!} + \frac{4}{4!} + \cdots \infty\) equals

The value of \(\int_{\sqrt{\ln 2}}^{\sqrt{\ln 3}} \frac{x \sin x^2}{\sin x^2 + \sin(\ln 6 - x^2)} dx\) is

The sum to infinity of the series \(1 + \frac{2}{3} + \frac{6}{3^2} + \frac{10}{3^3} + \frac{14}{3^4} + ..........\) is

The approximate value of $\int₁⁵x²dx$ using trapezoidal rule with $n=4$ is