Limits

1. Understand the limit:

We need to evaluate:

2. Recognize the sum as a Riemann sum:

The given expression can be written as: This resembles the Riemann sum for an integral.

3. Convert to an integral:

Divide numerator and denominator by : The sum becomes: This is the Riemann sum for:

4. Evaluate the integral:

However, the upper limit should be 2 (since goes up to when the last term is ):

Correct Answer: (C)