Abstract
In this article, we give another visual proof of
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aa r X i v : . [ m a t h . HO ] J un A VISUAL PROOF THAT π e < e π BIKASH CHAKRABORTY
Claim: π e < e π . ln π − Z πe dxx < e ( π − e ) = πe − ,π e < e π . References [1] Fouad Nakhli, e π > π e , Mathematics Magazine, 60(3) (1987), pp. 165.[2] Roger B. Nelsen, Proofs without Words: Exercise in Visual Thinking, The Mathematical Association ofAmerica, 1993.[3] Roger B. Nelsen, Proofs without Words II: More Exercise in Visual Thinking, The Mathematical Associa-tion of America, 2000. Department of Mathematics, Ramakrishna Mission Vivekananda Centenary College, Rahara,West Bengal 700 118, India.
E-mail address : [email protected], [email protected] Mathematics Subject Classification: Primary 00A05, Secondary 00A66.