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Using binomial expansion : (2n+1)n - (2n-1)n = 2[nC0(2n)n + nC2(2n)n-2 +........+ nCn(2n)0] > (2n)n Hence (2n+1)n - (2n-1)n > (2n)n i.e. (2n+1)n > (2n-1)n + (2n)n |
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Bipin Kumar Dubey Chemical Dept. IIT Kharagpur |
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