Using a Power Series In Exercises 37-40, use the power series
to find a power aeries for the function, centered at 0, and determine the interval of convergence.
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Chapter 9 Solutions
Calculus: Early Transcendental Functions
- Finding the Sum of an Infinite Series In Exercises 17 and 18, find the sum of the infinite series. k=18110karrow_forward00 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_forward(2) Using the relationship 1- X Ex" find a power series representation for n=0 x? and identify the interval of convergence. a) the function 1+ x? b) for the function In(1- x) and identify the interval of convergence. 3 c) for the function (1– x)² *arrow_forward
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