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Alternating Series Error Estimation Theorem n Rn = ak C K Lan+1 k=1(-1)k 19. Consider the series = = k! =1-1+ + 2! 3! k=0

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Alternating Series Error Estimation Theorem n Rn = ak C K Lan+1 k=1(-1)k 19. Consider the series = = k! =1-1+ + 2! 3! k=0 (a) What is the alternating series error estimate if the first four terms are used? (b) What is the alternating series error estimate if the first twenty terms are used? Do not write this in decimal form. (c) How many terms are necessary to have an estimate accurate to three decimal places? Find the first error estimate that is less than 0.0005

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