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AAKASH SERIES-PARTIAL FRACTIONS-EXERCISE - II
- If (1)/((ax+b)(cx+d))=(A)/(ax+b)+(B)/(cx+d) then (1)/((ax+b)^(2)(cx+d)...
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- If (1)/((x-a)(x^(2)+b))=(A)/(x-a)+(Bx+C)/(x^(2)+b) then (1)/((x-a)(x^(...
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- If (x-4)/(x^(2)-5x+6) can be expanded in the ascending powers of x, th...
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- The coefficient of x^(n) in (1)/((1-2x)(1-3x)) is
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- The coefficient of x^(n) in (x+1)/((x-1)^(2)(x-2)) is
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- The number of partial fractions of (x^(3)-3x^(2)+3x)/((x-1)^(5)) is
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- The number of partial fractions of (2)/(x^(4)+x^(2)+1) is
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- If a(K)=(1)/(K(K+1)) for K=1, 2, 3....n, then (sum(K=1)^(n)a(K))^(2)=
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- For |x| lt 1/5, the coefficient of x^(3) in the expansion of (1)/((1-...
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- (3x^(2)+x+1)/(x-1)^(4)=a/(x-1)+b/(x-1)^(2)+c/(x-1)^(3)+d/(x-1)^(4) rAr...
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- Statement-I : If (x^(2)+3x+1)/(x^(2)+2x+1)=A+(B)/(x+1)+(C)/((x+1)^(2...
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- Statement-I : If (3x+4)/((x+1)^(2)(x-1))=(A)/(x-1)+(B)/(x+1)+(C)/((x...
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- If (1)/((1+2x)(1-x^(2)))=(A)/(1+2x)+(B)/(1+x)+(C)/(1-x) then assending...
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- (2x^(4)+3x^(2)+1)/((x^(2)+1)^(4))=(A)/((x^(2)+1))+(B)/((x^(2)+1^(2)))+...
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- A : If (5x+1)/((x+2)(x-1))=A/(X+2)+B/(x-1) " then "A=3, B=2. R : (px...
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- Assertion (A) : The remainder of x^(3)+2x^(2)-5x-3 which is divided by...
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- Assertion (A) : If (1)/(x^(3)(x+2))=A/x + B/x^(2) +C/x^(3) + D/(x+2) t...
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- If the expansion in powers of x of the function (1)/((1-ax)(1-bx)) is ...
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- (1)/(x(x+1)(x+2).....(x+n))=(A(0))/(x)+(A(1))/(x+1)+...+(A(n))/(x+n) r...
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- If 1/(x^(4)+x^(2)+1)=(Ax+B)/(x^(2)+x+1)+(Cx+D)/(x^(2)-x+1) " then "C+D...
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