Let n be a positive integer greater than 2.

a)Find the greatest integer k for which

1/2 + 1/3 + ... + 1/k < ln(n)

b)Find the least integer k for which

ln(n) < 1 + 1/2 + 1/3 + ... + 1/k

Thanks for the help.

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- Jul 14th 2009, 12:19 PMelmologarithm function
Let n be a positive integer greater than 2.

a)Find the greatest integer k for which

1/2 + 1/3 + ... + 1/k < ln(n)

b)Find the least integer k for which

ln(n) < 1 + 1/2 + 1/3 + ... + 1/k

Thanks for the help. - Jul 14th 2009, 03:38 PMPlato