Math Is Fun Forum

juantheron

Member

Registered: 2011-10-19

Posts: 312

inequality

prove that forall positive integer

the inequality

TheDude

Member

Registered: 2007-10-23

Posts: 361

Re: inequality

Is there a typo in this problem?  First of all I assume the last term in the sum is supposed to be 1/√n, not 1/n, correct?  The left inequality, n <= 1 + 1/√2 + 1/√3 + ... + 1/√n is false, in fact the exact opposite is true for all positive integers.  And the right inequality is trivial, considering that the sum grows logarithmically while n*√5 grows linearly.

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bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: inequality

Hi;

Possibly one side should be

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In mathematics, you don't understand things. You just get used to them.
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Always satisfy the Prime Directive of getting the right answer above all else.

reconsideryouranswer

Member

Registered: 2011-05-11

Posts: 171

Re: inequality

Hi;

Possibly one side should be

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