Question: Please Help - Continuity and Derivatives

Please Help - Continuity and Derivatives

159'!" State the conditions that must be met for a function x) to be continuous at x = a. State and give examples of the three types of discontinuities. State the Intermediate Value Theorem. Use the Intermediate Value Theorem to show that f(x) = x3 x2 3x + 1 has a zero over the interval [0, 1]. Given 1\" (x) = x3, show, rst principles, that ["00 = 3:2. Hint: (a + by = a3 + 3a2b + 3:111: + 113 Note: This problem is to be solved using limits. Do not simply use differentiation rules

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