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Definite Integral: Limit of a Summation

by Immersion
Tags: exponent, integral, limit, rational, summation
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Immersion
#1
Mar30-10, 11:53 PM
P: 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

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

3. The attempt at a solution

I can solve this expretion but with a integer exponent, not with a rational exponent.
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Immersion
#2
Mar31-10, 09:29 PM
P: 4
Help me, please.
Dick
#3
Mar31-10, 10:46 PM
Sci Advisor
HW Helper
Thanks
P: 25,235
That really doesn't look like a Riemann sum to me. Were you given that sum?


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