# Definite Integral: Limit of a Summation

1. ### Immersion

4
1. The problem statement, all variables and given/known data

Hi guys, i have a exercise of the limit of a summation that is the formal definition of definite integral and i need resolve and explain, but i can't resolve for the rational exponent, for this, need help, thanks in advance.

2. Relevant equations

$\lim_{n \rightarrow \infty} \sum_{i=1}^{n} {(1+\frac{2}{n}(i-0.3))^{\frac{7}{5}}\frac{2}{n}$

3. The attempt at a solution

I can solve this expretion but with a integer exponent, not with a rational exponent.

2. ### Immersion

4
Help me, please.

3. ### Dick

25,887
That really doesn't look like a Riemann sum to me. Were you given that sum?

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