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Series, Partial Sums and Convergence

Consider the series
Σ ln (((k-1)(k+1))/k^2) = ln ((1 *3)/(2*2) + ln ((2*4)/(3*3)) +...

a. Show the partial sum S4 = ln (5/8)
b. Show the partial sum Sn = ((n+1)/(2n))
c. Use part b to show the partial sums Sn and therefore the series, converges.

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