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Find is the coefficient of x^(4) in the ...

Find is the coefficient of `x^(4)` in the power series expansion of `(3x^(2)+2x)/((x^(2)+2)(x-3))` specifying the interval in which the expansion is valid.

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The correct Answer is:
Coefficients of `x^(4) = - 1/81+ 1/4 `
`= (-4+81)/324=77/324`
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VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-PARTIAL FRACTIONS -EXERCISE- 7
  1. Resolve the following into partial fractions. (3x^(2)-8x^(2) + 10)/(...

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  2. Resolve the following into partial fractions. (2x^(2)+3x+4)/((x-1)(x...

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

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

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

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

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

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

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

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  10. Resolve the following into partial fractions. (x^(3))/((x-a)(x-b)(x-c...

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  11. Find the coefficient of x^(3) in the power series expansion of (5x+6)/...

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

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  13. Find the coefficient of x^(n) in the power series expansion of (x-4)/(...

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  14. Find the coefficient of x^(n) in the power series expansion of (3x)/((...

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  15. (x+4)/ ((x^(2)-4)(x+1))

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

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  17. Resolve the (2x^(2)+3x+4)/((x-1)(x^(2)+2)) into partial fractions.

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  18. Resolve (x^(4))/((x-1)(x-2)) into partial fractions.

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

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  20. Resolve 1/((X-1)^(2)(X-2)) into Partial fractions.

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