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We examine the series log(1+1/k) for convergence and divergence using the partial sum. Mathematics, analysis, series, convergence, divergence, converges, diverges, criterion, quotient criterion, root criterion, Leibniz, partial sum, unlimited, university, college, university, study, task, exam, test, exercise, tutorial, Cauchy, sequence, log, log(1+1/k), finite, infinite, telescope sum, examine, absolute, divergent, convergent, log(1+1/n)