Show that the function f: [0,1] -> R defined by:
f(x) = 1, if x=1/k for some k
f(x) = 0, else
is Riemann integrable on [0,1]
The Attempt at a Solution
I attempted the problem using Cauchy's criterion but found that this function is not Riemann integrable, am i right? or am i going about this the wrong way.