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SNOOTCHIEBOOCHEE
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Homework Statement
Let f, g : [a, b] [tex]\rightarrow[/tex] R be integrable on [a, b]. Then, prove that h(x) = max{f(x), g(x)} for
x [tex]\in[/tex] [a, b] is integrable.
1
Homework Equations
Definition of integrability: for each epsilon greater than zero there exists a partition P so that U(f,P)-L(f,P)<epsilon
The Attempt at a Solution
Ok i have absolutley no clue how to do this one. The following graph is how i think the function would look : http://i31.photobucket.com/albums/c373/SNOOTCHIEBOOCHEE/Graph2.jpg
Sorry about the crude drawing, but the very light blue would be h(x)
But i honest to god can't see a way to make U(f,P)-L(f,P)<epsilon a true statement
Thanks in advance