definite-integral

Question: $\underset{n\to \infty }{\mathop{\text{lim}\,}}\,\left[ \frac{1}{{{n}^{2}}}{{\sec }^{2}}\frac{1}{{{n}^{2}}}+\frac{2}{{{n}^{2}}}{{\sec }^{2}}\frac{4}{{{n}^{2}}}+.....+\frac{1}{n}{{\sec }^{2}}1 \right]$ equals

1) $\tan 1$

2) $\frac{1}{2}\tan 1$

3) $\frac{1}{2}\sec 1$

4) $\frac{1}{2}\text{cosec}1$

Solution:

Explanation: No Explanation

Summation of series by definite Integration

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