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## Homework Statement

Let A={1/n, n =natural number}

f: [0,1] -> Reals

f(x) = {1, x in E, 0 otherwise

Prove f is riemann integrable on [0,1]

## Homework Equations

## The Attempt at a Solution

Not quite sure, but I think supf = 1 and inf f= 0 no matter what partition you take, then

Spf - spf = 1

so it is not r-integrable..?

(obv i skipped lots of steps but im not sure if it is actually r-int or not, i said its not)