Answer: Suppose that and are series with positive terms. Prove that if and diverges

Chapter 9, Problem 66

(choose chapter or problem)

Suppose that \(\sum a_{n}\) and \(\sum b_{n}\) are series with positive terms. Prove that if \(\lim_{n\rightarrow\infty}\ \frac{a_n}{b_n}=\infty\) and \(\sum b_{n}\) diverges, \(\sum a_{n}\) also diverges.

ba

Text Transcription:

sum a_n

sum b_n

lim_n rightarrow infty a_n / b_n = infty

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