Calculus 2 Quiz
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SEQUENCES & SERIES
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Let an=1na_n = \frac{1}{n} and bn=1n2b_n = \frac{1}{n^2}. If we form the series ∑n=1∞cn\sum_{n=1}^{\infty} c_n where cn=anc_n = a_n when nn is not a perfect square and cn=bnc_n = b_n when nn is a perfect square, what is the convergence behavior of this series?
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