If |x|<1,then 1+n((2x)/(1+x))+(n(n+1))/(...

If `|x|<1,then 1+n((2x)/(1+x))+(n(n+1))/(2!)((2x)/(1+x))^2+......` is equal to

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CENGAGE PUBLICATION-BINOMIAL THEOREM-All Questions

Statement 1: ""^m Cr+ ""^m C(r-1)(""^nC1)+ ""^mC(r-2)(""^n C2)+....+ "...
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1+(1/4)+((1*3)/(4*8))+((1*4*7)/(4*8*12))+....=
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If |x|<1,then 1+n((2x)/(1+x))+(n(n+1))/(2!)((2x)/(1+x))^2+...... is eq...
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If a, b, c are in AP also in GP Then show that, a=b=c
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The sum of the GP (x+y)/(x-y), 1, (x-y)/(x+y),.....
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Statement 1: In the expansion of (1+x)^(41)(1-x+x^2)^(40), the coeffic...
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The coefficient of x^(n) in (1+x+(x^(2))/(2!) + (x^(3))/(3!) +"….." + ...
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Evaluate the following .^3C2
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Evaluate .^5C2
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The value of sum(r=0)^(10)r""^(10)C(r)3^(r)(-2)^(10-r) is (a) 20 (b) 1...
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Find n if n P1=2
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Evaluate .^5P2
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The value of (.^(n)C(0))/(n)+(.^(n)C(1))/(n+1)+(.^(n)C(2))/(n+2)+"..."...
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The value of .^(20)C(0)+.^(20)C(1)+.^(20)C(2)+.^(20)C(3)+.^(20)C(4)+.^...
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If (3+x^(2008)+x^(2009))^(2010)=a0+a1x^2+....+anx^n, a0-1/2 a1-1/2 a2+...
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Find the seventh term of the G.P: 1, √3, 3, 3 √3, …..
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Find the 10th term of the G.P. : 12, 4, 1 1/3,....
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If (1+x)^(n) = C(0) +C(1)x+C(2)x^(2) + "….." + C(n)x^(n), then C(0)C(2...
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The value of (lim)(n->oo)sum(r=1)^(n)(sum(t=0)^(r-1)1/(5^n).^n Cr.^r C...
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If n gt 2, then prove that C(1)(a-1) - C(2) xx (a-2) + "….." + (-1)^(...
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