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(ii) Find the coefficient of x^(n) in th...

(ii) Find the coefficient of `x^(n)` in the expansion of `(x)/((x-1)^(2)(x-2))` in which the expansion is valid.

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The correct Answer is:
`1-n- (1/2)^(n)`
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AAKASH SERIES-PARTIAL FRACTIONS-EXERCISE - 4 ( SHORT ANSWER QUESTIONS)
  1. Resolve the following into partial fractions. (2x^(2)+3x+4)/((x-1)(x...

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  2. Resolve (x^(3)+x^(2)+1)/((x^(2)+2)(x^(2)+3)) into partial fractions.

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  3. Resolve the following into partial fractions. (2x-1)/((1-x-x^(2))(x+...

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  4. Resolve into Partial Fractions (vi) (5x^(2)+2)/(x^(3)+x)

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  5. Resolve the following into partial fractions. (x^(3) + x^(2)+1)/ ((x...

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  6. Resolve into Partial Fractions (i) (x^(3))/((x^(2)+1)^(2))

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  7. Resolve the following into partial fractions. (x^(2)+1)/((x^(2)+x+1)...

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  8. Resolve (x^(4)+24x^(2)+28)/((x^(2)+1)^(3)) into Partial fractions.

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  9. Resolve into Partial Fractions (iv) (x+3)/((1-x)^(2)(1+x^(2)))

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  10. Resolve the following into partial fractions. (x^(2))/ ((x-1)(x-2))

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  11. Resolve into Partial Fractions (ii) (x^(3))/((2x-1)(x+2)(x-3))

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  12. Resolve the following into partial fractions. (x^(3))/((x-1)(x+2))

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  13. Resolve into Partial Fractions (iv) (x^(4))/((x-1)(x-2))

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  14. Resolve into Partial Fractions (v) (2x^(3)+3)/(x^(2)-5x+6)

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  15. (x^(3))/((2x-1)(x-1)^(2))

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  16. Find the coefficient of x^(4) in the expansion of (3x)/((x-2)(x+1)) in...

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  17. (ii) Find the coefficient of x^(n) in the expansion of (x)/((x-1)^(2)(...

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  18. Find is the coefficient of x^(4) in the power series expansion of (3x^...

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  19. (iv) Find the coefficient of x^(2) in the powers of x specifying the i...

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  20. Find the number of partial fractions of (x+2)/(x^(2)(x^(2)-1))

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