If anyone can give me a push-start on the following proof I would appreciate it:
Suppose is continuous. Show determined by is continuous.
I know that but I'm not sure if that helps us here...
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Fix . is uniformly continuous on the compact set .
Im really sorry but I have no idea how you know that or how that helps me...
Originally Posted by zebra2147 Im really sorry but I have no idea how you know that or how that helps me... I must be misunderstanding. If you know the result about Leibniz's differentiation under the integral sign you must know then that is differentiable and thus trivially continuous, no?
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