**Problem: Evaluate: \(\lim_{n\to\infty} (\frac{1}{n+1}+\frac{1}{n+2}+\frac{1}{n+3}+…+\frac{1}{n+n})\)**

**Solution:**

**As the title suggests the modification of this problem will be, that we will solve a more general series and then use a specific value to arrive at the solution of this problem.**

**First let us consider the following limit:**

**\(\lim_{n\to\infty} (\frac{1}{n+1}+\frac{1}{n+2}+\frac{1}{n+3}+…+\frac{1}{n+kn})\)**

**Observe carefully that using k=1 in this limit, we get the limit that has been asked to evaluate.**

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