. Let a Î R. Prove that a function f : R ® R is differentiable at a if and only
Let a Î R. Prove that a function f : R ® R is differentiable at a if and only if there is a function g : R ® R which is continuous at x = a and satisfies f (x) - f (a) = g(x) (x - a) for all x Î R.
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