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Lipschitz Condition and Differentiability
Let K>0 and a>0. The function f is said to satisfy the Lipschitz condition if |f(x)-f(y)|<= K |x-y|a .. I am given a problem where I must prove that f is differentiability if a>1. I know I need to show that limx->c(f(x)-f(c))/ (x-c) exists. I am having quite a hard time. Any hints?- MatthewSmith2
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- Condition Differentiability Lipschitz
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- Forum: Calculus and Beyond Homework Help