I'm having trouble getting started with this proof. Any help is appreciated...

If is continuous, then, .

My thinking is that I need to construct step functions for but I guess I don't know where to go with that.

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- March 8th 2011, 03:54 PMzebra2147Uniform Convergence and Integrals
I'm having trouble getting started with this proof. Any help is appreciated...

If is continuous, then, .

My thinking is that I need to construct step functions for but I guess I don't know where to go with that. - March 8th 2011, 05:45 PMroninpro
Isn't the term on the right a Riemann sum using rectangles of uniform width ?

- March 8th 2011, 06:08 PMzebra2147
So then the height of the rectangle would be defined by since maps ?