- #1
SNOOTCHIEBOOCHEE
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Homework Statement
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
Homework 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
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 I am not, i don't know how to go about choosing P. HELP MEH PLZ!