The value of `Sigma_(n=1)^(3) tan^(-1)((1)/(n))` is

Options

A. 0
B. `pi`
C. `pi//2`
D. none of these

Explanation

To find the value of the summation \( \Sigma_{n=1}^{3} \tan^{-1}\left(\frac{1}{n}\right) \), we will evaluate the expression step by step.

### Step 1: Write out the summation
We need to evaluate:
\[ \tan^{-1}\left(\frac{1}{1}\right) + \tan^{-1}\left(\frac{1}{2}\right) + \tan^{-1}\left(\frac{1}{3}\right) \]

...