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The partial fractions of 1/(x^(3)(x+2)) ...

The partial fractions of `1/(x^(3)(x+2)) = `

A

`(1)/(8x)-(1)/(4x^(2))+(1)/(2x^(3))-(1)/(8(x+2))`

B

`(1)/(8x)+(1)/(4x^(2))+(1)/(2x^(3))-(1)/(8(x+2))`

C

`(1)/(8x)-(1)/(4x^(2))-(1)/(2x^(3))+(1)/(8(x+2))`

D

`(1)/(8x)+(1)/(4x^(2))+(1)/(2x^(3))+(1)/(8(x+2))`

Text Solution

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The correct Answer is:
A
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AAKASH SERIES-PARTIAL FRACTIONS-EXERCISE - II
  1. If (x^(4)+24x^(2)+28)/((x^(2)+1)^(3))=A/((x^(2)+1))+B/((x^(2)+1)^(2))+...

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  2. Resolve into Partial Fractions (vi) (x^(2)+13x+15)/((2x+3)(x+3)^(2)...

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  3. The partial fractions of 1/(x^(3)(x+2)) =

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  4. If f(x) is a function of x such that (1)/((1+x)(1+x^(2)))=(A)/(1+x)+(f...

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  5. If (x)/((1+x^(2))(3-2x))=(A)/(3-2x)+(Bx+C)/(1+x^(2)) then C=

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  6. If (1)/(x(x^(2)+a^(2)))=(A)/(x)+(Bx+C)/(x^(2)+a^(2)) then tan^(-1)(A/B...

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  7. If (x+1)^(2)/(x^(3)+x)=A/x+(Bx+C)/(x^(2)+1) " then "Sin^(-1)(A/C)=

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  8. The partial fractions of ((x+1)^(2))/(x(x^(2)+1)) are

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  9. If (x^(3)+x^(2)+1)/((x^(2)+2)(x^(2)+3))=(Ax+B)/(x^(2)+2)+(Cx+D)/(x^(2)...

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  10. If (1)/((ax+b)(cx+d))=(A)/(ax+b)+(B)/(cx+d) then (1)/((ax+b)^(2)(cx+d)...

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  11. If (1)/((x-a)(x^(2)+b))=(A)/(x-a)+(Bx+C)/(x^(2)+b) then (1)/((x-a)(x^(...

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  12. If (x-4)/(x^(2)-5x+6) can be expanded in the ascending powers of x, th...

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  13. The coefficient of x^(n) in (1)/((1-2x)(1-3x)) is

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  14. The coefficient of x^(n) in (x+1)/((x-1)^(2)(x-2)) is

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  15. The number of partial fractions of (x^(3)-3x^(2)+3x)/((x-1)^(5)) is

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  16. The number of partial fractions of (2)/(x^(4)+x^(2)+1) is

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  17. 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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  18. For |x| lt 1/5, the coefficient of x^(3) in the expansion of (1)/((1-...

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  19. (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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  20. Statement-I : If (x^(2)+3x+1)/(x^(2)+2x+1)=A+(B)/(x+1)+(C)/((x+1)^(2...

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