(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Prove that

f(x) = 1 x (element) E = {1/n : n (element) N}

0 x (element) [0,1]\E

is integrable on [0, 1] by using the definition of integrability

2. Relevant equations

Definition of Integrability: Let f be a bounded function. for each epsilon greater than 0 there exists a partition P such that. U(f,P)- L(f,P)< epsilon

3. The attempt at a solution

Fix [tex]\epsilon[/tex] >0

I think that for any partition P, L(f,P) is gunna be zero. Since mk will always be 0 for all k.

so all we need to do is find a partition P such that U(f,P) < [tex]\epsilon[/tex]

i could be completely wrong up to this step, and even if im not, i don't know how to go about choosing P. HELP MEH PLZ!!!

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# Homework Help: Proving a Function is Rieman Integrable

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