Let f [0,1] R be a strictly positive, continuous function. Show that for every positive integer...

   

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Let f [0,1] R be a strictly positive, continuous function. Show that for every positive integer n, there is unique an E (0, 1), so that an Lo f(t) dt: Compute lim, nan. = 1 n Lo f(t)dt. Let f [0,1] R be a strictly positive, continuous function. Show that for every positive integer n, there is unique an E (0, 1), so that an Lo f(t) dt: Compute lim, nan. = 1 n Lo f(t)dt.

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To show the existence and uniqueness of E such that fo ftdt fE we can use the Intermediate Value The... View the full answer