- #1

Reid

- 36

- 0

## Homework Statement

Prove that the function specified below is Riemann integrable and that its integral is equal to zero.

## Homework Equations

f(x)=1 for x=1/n (n is a natural number) and 0 elsewhere on the interval [0,1].

## The Attempt at a Solution

I have divided the partition into two subintervals, the first with tags different from x=1/n and the second with tags at x=1/n. But, given an epsilon>0, I am not sure how to choose my delta (the norm of the partition) such that the points where the function is not zero doesn't make a contribution.

Or, is my approach all wrong?

Thanks!