Write TRUE if the statement is correct, otherwise, write FALSE. If your answer is false, provide a counterexample, a short explanation, OR modify the statement to make it true. 1. If f is continuous on [a, b), then f is differentiable on (a, b). 2. If f and g are differentiable at a point a E R, then lim fS(2) ± g(x)] exist. 3. If f(a) does not exist for a e R, then the f is not differentiable at z=a.

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