The Weierstrass Function
The Weierstrass Function Math 104 Proof of Theorem. Since jancos(bnˇx)j an for all x2R and P 1 n=0 a n converges, the series converges uni-formly by the Weierstrass M-test. Moreover, since the partial sums are continuous (as nite sums of continuous functions), their uniform limit fis …
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