Using a Power Series In Exercises 19-28, use the power series
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Calculus (MindTap Course List)
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- 00 Consider the series > a, where a, = (-1)*+7 In( 1 + - n n=1 Is the series (eventually) alternating? ? Are the terms of the series (eventually) nonincreasing in magnitude? ? What is the limit of the terms of the series? lim an = n-00 Based on your answers above, can the alternating series test be applied to the series? ? Using the alternating series test or other tests, does the series converge or diverge? ?arrow_forward4. Consider the geometric series EG) (x- 3)" n=0 (a) Find the values of x for which the series converges. Find the sum of the series (as a function of x) for those (b) values of x found in (a).arrow_forward15-20 Find a power series representation for the function and determine the radius of convergence.arrow_forward
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