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*http://www.patricioginelsa.com/lib/mathematical-programming*. EXAMPLE 13.46 Apply the root test to the series ∞ j=1 1 [ln( j + 2)] j Solution: Observe that c j = 1/[ln( j + 2)] j. 1/ j = 1 ln( j + 2) This expression tends to 0 as j → ∞. Therefore L = 0 < 1 and the Root test says that the series converges absolutely. (Try using the ratio test on this one ref.: Numerical Analysis 1993 download here

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