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Let f : RR be a function such that |f(x) f(y)|k*|x y| 1/2 , x, y R, for some k > 0. Write the -

Let f : RR be a function such that |f(x) f(y)|k*|x y|1/2, x, y R, for some k > 0.

Write the - definition of a continuous function on R, and prove that f is continuous on R.

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