If a function f : R” → R is differentiable at Xo, prove that ƒ is continuous there. Let ƒ : R" → R. Assume that there is an affine function T(X) such that T(Xo) = f(Xo) and f(X) - T(X) lim X-Xo ||X-Xo|| ² Must f be differentiable at Xo? Prove or give a counterexample. = 0.

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