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11. For each of the following statements, determine if they are true or false. If true, explain why. If false, explain why or give an

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11. For each of the following statements, determine if they are true or false. If true, explain why. If false, explain why or give an example that disproves the statement (A CORRECT ANSWER WITH NO JUSTIFICATION WILL EARN PARTIAL CREDIT!) a. Consider the limit expression lim (3x - 1) = 20. For any & > 0, the choice of & = - satisfies the statement of the precise 1-+7 definition of a finite limit. 5 b. All inflection points are also critical points. 5 c. All continuous functions have antiderivatives. 5 d . sin(x) 1x3 - 2x - dx = 0 for any a 3 0. 5 e. If fis continuous on [a, b], then

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