Answer: In Exercises 5560, determine whether the statement is true or false. If it is
Chapter 9, Problem 57(choose chapter or problem)
True or False? In Exercises 55-60, determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false.
If \(a_n+b_n\ \le\ c_n\) and \(\sum_{n=1}^{\infty} c_{n}\) converges, then the series \(\sum_{n=1}^{\infty} a_{n}\) and \(\sum_{n=1}^{\infty} b_{n}\) both converge. (Assume that the terms of all three series are positive.)
Text Transcription:
a_n + b_n leq c_n
sum_n=1 ^infty c_n
sum_n=1 ^infty a_n
sum_n=1 ^infty b_n
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