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Let n be any positive integer. Prove that (1-x^2)^n>=1-nx^2 for all x in [0, 1]?

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  • Let n be any positive integer. Prove that (1-x^2)^n>=1-nx^2 for all x in [0, 1]?


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Prove that n! > 2n for all n ≥ 4. 1.2. Prove that for any integer n ... 1, x 6= 0 and n is a positive integer greater than 1, ... let x1,x2,...,xn be any ...
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Positive: 81 %
For a fixed positive integer kwe let r,k n, (n= 0,1, ... nX−2 i=0 nX−i k=1 r iC (r) ... n−1 + nX−2 i=0 r iC (r)(n−i−1), that is C(r)(n) =
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Positive: 78 %

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For any real number x and for any positive integer n show ... Show that the series ∑ n(1 + nx ... Let {0,1}* be the set of all ...
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Positive: 81 %
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Positive: 76 %
positive integer n, then Γ(n+1) ... equation (29) holds for all n≤ k. Let n= k+1. ... n−1−i X Y = 0 for i≥ 1. Hence all operators Pn(1) ...
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Positive: 62 %
... we show that the independence density can be any real number in $[0,1] ... let the n umber of v ertices. of H. i. b e n. i ... {x ∈ [0, 1]: for some ...
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Positive: 39 %

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