(See Solution) Give an example of a pair of series ∑ a_n and ∑ b_n with positive terms where lim _n \rightarrow ∞(a_n / b_n)=0 and ∑ b_n
Question: Give an example of a pair of series \(\sum a_{n}\) and \(\sum b_{n}\) with positive terms where \(\lim _{n \rightarrow \infty}\left(a_{n} / b_{n}\right)=0\) and \(\sum b_{n}\) diverges, but \(\sum a_{n}\) converges. (Compare with Exercise 40.)
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![[Steps Shown] Determine whether the series is](/images/solutions/MC-solution-library-60270.jpg "[Steps Shown] Determine whether the series is convergent or divergent.")
[Steps Shown] Determine whether the series is convergent or divergent.
![[Solution Library] Determine whether the series is](/images/solutions/MC-solution-library-60271.jpg "[Solution Library] Determine whether the series is convergent or")
[Solution Library] Determine whether the series is convergent or
(See Steps) Determine whether the series is convergent or divergent.
Solution: Find the values of p for which the series is convergent.
(See Solution) How many terms of the series ∑_n=2^∞ 1
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