# Expressing limits as definite integrals

• Nov 25th 2010, 04:30 PM
ioke09
Expressing limits as definite integrals
Express the limit as a definite integral. [Hint: Consider f(x) = 4x^8.]

http://www.webassign.net/cgi-bin/sym...%29%2Fn%5E9%20

How would I start a problem like this?
• Nov 25th 2010, 05:02 PM
Plato
With twenty other postings, you should understand that this is not a homework service nor is it a tutorial service.
PLease either post some of your own work on this problem or explain what you do not understand about the question.
• Nov 25th 2010, 05:03 PM
mr fantastic
Quote:

Originally Posted by ioke09
Express the limit as a definite integral. [Hint: Consider f(x) = 4x^8.]

http://www.webassign.net/cgi-bin/sym...%29%2Fn%5E9%20

How would I start a problem like this?

Review your notes or textbook on Riemann sums.
• Nov 25th 2010, 05:53 PM
chisigma
If f(*) is Riemann-integrable in [a,b] , then...

$\displaystyle \displaystyle \int_{a}^{b} f(t)\ dt = \lim_{n \rightarrow \infty} \frac{b-a}{n} \sum_{i=1}^{n} f(a + i\ \frac{b-a}{n})$ (1)

Kind regards

$\displaystyle \chi$ $\displaystyle \sigma$