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Assuming `x` to be so small that `x^2` and higher power of `x` can be neglected, prove that `((1+(3x)/4)^-4(16-3x)^(1/2))/(8+x)^(2/3) = 1-(305/96)x`

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CENGAGE ENGLISH-BINOMIAL THEOREM-All Questions
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  2. Show that sqrt3 =1+1/3+(1/3).(3/6)+(1/3)*((3/6)*(5/9)*(7/12)+.......

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  3. Assuming x to be so small that x^2 and higher power of x can be neg...

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  4. Find the sum sumsum(0lt=i < jlt=n-1)j^n Cidot

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  5. Find the condition for which the formula (a+b)^m = a^m+m a^(m-1)b+(m(...

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  6. Find the value of x , for which 1/(sqrt(5+4x)) can be expanded as infi...

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  7. Find the fourth term in the expansion of (1-2x)^(3//2)""dot

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  8. Prove that .^n C0 . ^(2n) Cn- ^n C1 . ^(2n-2)Cn+^n C2 . ^(2n-4)Cn-=2...

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  9. Prove that ^n C0 .^n C0-^(n+1)C1 . ^n C1+^(n+2)C2 . ^n C2-=(-1)^ndot

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  10. Find the sum of the coefficients of all the integral powers of x in th...

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  11. If the sum of the coefficient in the expansion of (alpha^2x^2-2alphax+...

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  12. Prove that sum(alpha+beta+gamma = 10) (10 !)/(alpha!beta!gamma!)=3^(10...

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  13. If (1+x-2x^2)^(20)=a0+a1x+a2x^2+a3x^3+...+a(40)x^(40), then find the v...

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  14. Find the sum of the series .^15 C0+^(15)C1+^(15)C2+...............+^(1...

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  15. Find the sum sum(k=0)^(10).^(20)Ck.

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  16. Find the sum of all the coefficients in the binomial expansion of (x^2...

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  17. If the sum of coefficient of first half terms in the expansion of (x+y...

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  18. Find the value of sum(p=1)^n(sum(m=p)^n.^nCm.^m Cp)dot And hence, find...

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  19. Show that the middle term in the expansion of (1+x)^(2n)i s((1. 3. 5 (...

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  20. If the middle term in the expansion of (x^2+1//x)^n is 924 x^6 , then...

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