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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Originally Posted by elmo 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 This is Napier’s inequality: . From which it follows that: . So we get .
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