1/x+1 less than or equal to ln(x+1)/x using definition of ln(x) as intergral of 1 to x of 1/t dt show that for every real number we have x such that
Last edited by mr fantastic; November 27th 2011 at 10:13 AM. Reason: Re-titled.
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Originally Posted by sbacon1991 1/x+1 less than or equal to ln(x+1)/x using definition of ln(x) as intergral of 1 to x of 1/t dt show that for every real number we have x such that By definition: if then . So which means we can use the mean value theorem. If then But implies That gives . Let and we have it.
Last edited by Plato; November 27th 2011 at 10:47 AM.
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