Answer: In Exercises 7982, determine whether the statement is true or false. If it is

Chapter 9, Problem 81

(choose chapter or problem)

True or False? In Exercises 79-82, determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false.

If the interval of convergence \(\sum_{n=0}^{\infty} a_{n} x^{n}\) is (-1, 1), then the interval of convergence for \(\sum_{n=0}^{\infty} a_{n}(x-1)^{n}\) is (0, 2).

Text Transcription:

sum_n = 0 ^infty  a_n  x^n

sum_n = 0 ^infty  a_n (x - 1)^n

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