The embodiment of a "pathological" function, the Weierstrass functions are continuous 𝑒𝑣𝑒𝑟𝑦𝑤𝘩𝑒𝑟𝑒 but differentiable 𝑛𝑜𝑤𝘩𝑒𝑟𝑒pic.twitter.com/yLmONV9pmH
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I have seen this before, but for the life of me I cannot understand why the version you give is not differentiable since every term is! Certainly to do with limits of functions and properties not being preserved but my memory is bad.
if you take a derivative all the sudden the series diverges always
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Very nice!
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