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Find the coefficient of x^(10) in the ex...

Find the coefficient of `x^(10)` in the expansion of `(1+2x)/((1-2x)^(2))`.

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AAKASH SERIES-BINOMIAL THEOREM-EXERCISE - 1.3 (Level - 1)
  1. Find the coefficient of x^(4) in ((2+3x)^(3))/((1-3x)^(4))

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

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  3. Find the coefficient of x^(10) in the expansion of (1+2x)/((1-2x)^(2))...

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  4. Find the coefficient of x^(4) in the expansion of (1-4x)^(-3//5).

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  5. Find the coefficient of x^(5) in ((1-3x)^(2))/((3-x)^(3//2)).

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  6. Find the coefficient of x^(8) in ((1+x)^(2))/((1-(2)/(3)x)^(3)).

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  7. Find the coefficient of x^(7) in ((2+3x)^(3))/((1-3x)^(4)).

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

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  9. If |x| is so small that x^(2) and higher powers of x may be neglected ...

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  10. By neglecting x^(4) and higher powers of x, find an approximate value ...

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  11. Expand : 3sqrt(3) in ascending powers of (1)/(3)

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  12. Prove that : Expand 5sqrt(5) in increasing powers of (4)/(5).

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  13. If b is small compared to 'a' show that (c )/((a-b)^(2)) -(c )/((a+b)...

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  14. If 'c' is small in comparison with l then ((l)/(l+c))^(1//2) + ((l)/(l...

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  15. Find the values of the following correct to five decimals. (1)/(roo...

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  16. Find the values of the following correct to five decimals. sqrt(3....

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  17. Find the values of the following correct to five decimals. sqrt(1.0...

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  18. Find the sum of the infinite series 1+(1)/(3)+(1.3)/(3.6)+(1.3.5)/(3...

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  19. Find the sum of the infinite series 1-(4)/(5)+(4.7)/(5.10)-(4.7.10)/...

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  20. Find the sum of the infinite series (3)/(4)+(3.5)/(4.8)+(3.5.7)/(4.8...

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