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## Homework Statement

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]

## Homework Equations

## 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.