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