- #1

Hummingbird25

- 86

- 0

**Integral test by comparison(Please look at my work)**

## Homework Statement

Looking at the Integral

[tex]a_n = \int_{0}^{\pi} \frac{sin(x)}{x+n\pi}[/tex]

prove that [tex]a_n \geq a_{n+1}[/tex]

## Homework Equations

## The Attempt at a Solution

Proof

given the integral test of comparison and since a_n is convergent, then a_n will always be larger than a_(n+1), by comparisons test.

q.e.d.

Is this surficient? Or do I need to add something that they converge to different limit point?

Sincerely Yours

Maria

Last edited: