# Math Help - Expressing limits as definite integrals

1. ## Expressing limits as definite integrals

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

How would I start a problem like this?

2. 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.

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

How would I start a problem like this?
Review your notes or textbook on Riemann sums.

4. If f(*) is Riemann-integrable in [a,b] , then...

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

Kind regards

$\chi$ $\sigma$