Register to reply

Definite Integral: Limit of a Summation

by Immersion
Tags: exponent, integral, limit, rational, summation
Share this thread:
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.
Phys.Org News Partner Science news on Phys.org
Scientists develop 'electronic nose' for rapid detection of C. diff infection
Why plants in the office make us more productive
Tesla Motors dealing as states play factory poker
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: 25,228
That really doesn't look like a Riemann sum to me. Were you given that sum?


Register to reply

Related Discussions
Definite Integral and Summation Equivalence Calculus 3
Summation as Integral Calculus & Beyond Homework 9
Definite Integral [help] Calculus 4
Limit of a Summation. Calculus & Beyond Homework 6
Summation and Integral Calculus & Beyond Homework 10