|f(x)-f(y)|/|x-y| = |[f(x)-f(y)]/(x-y)|

lim x-->y |f(x)-f(y)|/|x-y| = |f'(x)|<=lim x-->y M|x-y|^(a-1) = 0

f'(x) = 0

f(x) is a constant

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