Do the series diverge or converge? and why? 1.) n=1 to infinity (5/n+1) 2.) n=1 to infinity (-2/n(square root n)) 3.)n=2 to infinity (ln n/(square root n)) 4.)n=1 to infinity (1+ 1/n)^n 5.)n=1 to infinity (n/n^2+1)
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Originally Posted by TAG16 Do the series diverge or converge? and why? 1.) n=1 to infinity (5/n+1) 2.) n=1 to infinity (-2/n(square root n)) 3.)n=2 to infinity (ln n/(square root n)) 4.)n=1 to infinity (1+ 1/n)^n 5.)n=1 to infinity (n/n^2+1) 1. This tends to , and so the series, which is no less than this integral, also tends to . So the series diverges.
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