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Theorem 4 states “If f is differentiable at a, then f is continuous at a.” Is...

Theorem 4 states “If f is differentiable at a, then f is continuous at a.” Is the converse also true? Specifically, is the statement “If f is continuous at a, then f is differentiable at a” also true? Defend your reasoning and/or provide an example or counterexample (Hint: Can you find a graphical depiction in the text that shows a continuous function at a point that is not differentiable at that point?)

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