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SN = In this problem, we investigate the divergence of the harmonic series in more detail. Let ln(N+1) + 11/n. Since In (N +


  

SN = In this problem, we investigate the divergence of the harmonic series in more detail. Let ln(N+1) + 11/n. Since In (N + 1) = N+1x-1dx, this can be written as 1 an for SN = (a) Explain why 1 n+ 1 cn+1 an dx X 1 = -- n 1 n n+1 2+ n dx X Conclude that 0 an 1 n(n + 1) (b) Explain why this implies that limy SN exists.

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A nice problem in calculus Part a We want to show that 1n 1 1x dx from n to n 1 1n Lets start ... blur-text-image

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