MTH 133 Study Guide - Quiz Guide: Absolute Convergence

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12 Oct 2018
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If you have a question raise your hand and i will come to you. Determine whether the series converges absolutely, converges conditionally or diverges. You must show all of your work show your reasons for deciding to use a certain test and support your conclusions: (5 points) find a power series representation for the function below. Identify cn and determine the interval of convergence. f (x) = Solution: a = 3 and r = 4x2 so (1 point) Cn = 3 4n (1 point) (2 points) 2 (1 point: (5 points) find the 3rd degree taylor polynomial centered at x = 0 generated by the function below and write the formula for the nth term. f (x) = e3x. Solution: f (x) = e3x = 1 + 3x +

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