In Example 8 We showed that the harmonic series is divergent. Here we outline another method, making
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We showed that the harmonic series is divergent. Here we outline another method, making use of the fact that ex > + x for any x > 0. If Sn is the nth partial sum of the harmonic series, show that eSn >n + 1. Why does this imply that the harmonic series is divergent?
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e ee2 en 1 1 1 1 1 e 1x 21 32 43 ...View the full answer
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