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Prove that the term independent of x in ...

Prove that the term independent of `x` in the expansin of `(x+1/x)^(2n)i s(1. 3. 5 (2n-1))/(n !). 2^ndot`

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Prove that the term independent of x in the expansion of (x+1/x)^(2n) \ is \ (1. 3. 5 ... (2n-1))/(n !). 2^n .

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Show that the middle term in the expansion of (1+x)^(2n)" is "(1.3.5. ..(2n-1))/(n!)(2x)^(n).

Show that the middle term in the expansion of (1+x)^(2n)i s((1. 3. 5 (2n-1)))/(n !)2^n x^n ,w h e r en is a positive integer.

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NAGEEN PRAKASHAN ENGLISH-BINOMIAL THEOREM-Exercise 8C
  1. If 'n' is a positive integer then prove that the coefficient fox^(m) i...

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  2. Find the term independent of x (constant term) in the following expans...

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  3. Prove that the term independent of x in the expansin of (x+1/x)^(2n)i ...

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  4. Find the coefficient of a^5b^7in(a-2b)^(12)

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  5. Find the coefficient of x^(2).y^(7) in the expansion of (x+2y)^(9)

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  6. Prove that the ratio of the coefficient of x^10 in (1 - x^2)^10 & the ...

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  7. Prove that he coefficient of x^n in the expansion of (1+x)^(2n) is twi...

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  8. Find a positive value of m for which the coefficient of x^2 in the ex...

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  9. The sum of the coefficients of x^(32) and x^(-17) in (x^4- 1/(x^3))^15...

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  10. If the coefficient of x^(7)in [ax^(2) + (1/bx)]^(11) equals the coeffi...

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  11. about to only mathematics

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  12. Find the coefficient of x^(10) in the expansion of (1-x^(2))^(10)

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  13. about to only mathematics

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  14. Find the coefficient of x^(40) in the expansion of (1+2x+x^2)^(27)dot

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  15. If 'n' is a positive integer then prove that the coefficient fox^(m) i...

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  16. Find the term independent of x in ((3x^(2))/(2)-(1)/(3x))^(9)

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  17. Prove that the term independent of x in the expansin of (x+1/x)^(2n)i ...

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  18. Find the coefficient of a^5b^7in(a-2b)^(12)

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  19. Find the coefficient of x^(2).y^(7) in the expansion of (x+2y)^(9)

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  20. Prove that the ratio of the coefficient of x^10 in (1 - x^2)^10 & the ...

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