If `S_(n)=1+1/2+1/3+…+1/n(ninN)`, then prove that
`S_(1)+S_(2)+..+S_((n-1))=(nS((n))-n)or(nS((n-1))-n+1)`

Explanation

To prove the identity \( S_1 + S_2 + \ldots + S_{n-1} = n S_n - n \) or \( n S_{n-1} - n + 1 \), we start by defining \( S_n \) clearly.

### Step 1: Define \( S_n \)
The sum \( S_n \) is defined as:
\[ S_n = 1 + \frac{1}{2} + \frac{1}{3} + \ldots + \frac{1}{n} \]

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