Question: Let f be a function that is differentiable at x = c. a. Explain why b. Use the result of part (a) together with the

Let f be a function that is differentiable at x = c.


a. Explain why


f'(c) lim X-C = f(x) - f(c) X - C


b. Use the result of part (a) together with the fact that


image


to show that


image


c. Explain why the result obtained in part (b) shows that f is continuous at x = c.

f'(c) lim X-C = f(x) - f(c) X - C

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