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Some analysis problems 1. R - UW-Madison Department of ...
www.math.wisc.eduSome analysis problems 1 1. Let fbe a continuous function on Rand let for n= 1,2,..., Fn(x) = Z x 0 (x− t)n−1f(t)dt. Prove that Fn is ntimes differentiable, and prove a simple formula for its n-th derivative. 2. Let ... P cn converges and P ...