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Prove that the term independent of x in ...

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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RD SHARMA ENGLISH-BINOMIAL THEOREM-All Questions
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  2. how that the coefficient of (r+1) th in the expansion of (1+x)^(n+1) ...

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

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  4. If the coefficients of 5th, 6th , and 7th terms in the expansion of (1...

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  5. If the coefficients of 2nd, 3rd and 4th terms in the expansion of (1...

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  6. If in the expansion of (1 + x)^n, the coefficients of pth and qth term...

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  7. Find a if the coefficients of x^2 and x^3 in the expansion of (3+a ...

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  8. Find the coefficient of a^4 in the product (1+2a)^4(2-a)^5 using binom...

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  9. In the expansion of (1+x)^n the binomial coefficients of three consecu...

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  10. If in the expansion of (1+x)^n the coefficient of three consecutive te...

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  11. If in any binomial expansion a, b, c and d be the 6th, 7th, 8th and 9t...

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  12. If the coefficients of three consecutive terms in the expansion of (1+...

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  13. If the 6th, 7th, 8th terms in the expansion of (x+ y)^n be 112, 7 and ...

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  14. If the 2nd, 3rd and 4th terms in the expansion of (x+a)^n are 240, ...

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  15. Find a, b and n in the expansion of (a+b)^n if the first three t...

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  16. If p is a real number and if the middle term in the expansion of (p/2+...

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  17. Write the number of terms in the expansion of (2+sqrt(3)x)^(10)+(2-sqr...

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  18. Write the middle term in the expansion of ((2x^2)/3+3/(2x^2))^(10)dot

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  19. Which term is independent of x in the expansion of (x-1/(3x^2))^9?

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  20. If a\ a n d\ b denote respectively the coefficients of x^m a n d\ x^n ...

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