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If `x` is so small that `x^3` and higher powers of `x` may be neglectd, then `((1+x)^(3//2)-(1+1/2x)^3)/((1-x)^(1//2))` may be approximated as `3x+3/8x^2` b. `1-3/8x^2` c. `x/2-3/xx^2` d. `-3/8x^2`

A

`1-(3)/(8) x^(2)`

B

`3x+(3)/(8)x^(2)`

C

`-(3)/(8)x^(2)`

D

`(x)/(2)-(3)/(8)x^(2)`

Text Solution

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The correct Answer is:
C
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DISHA PUBLICATION-BINOMIAL THEOREM -EXERCISE-2 (CONCEPT APPLICATOR)
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  10. If (r+1)^(th) term is (3.5...(2r-1))/(r!) (1/5)^(r), then this is th...

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  11. The the term independent in the expansion of [(t^(-1)-1)x+(t^(-1)+1)^(...

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  12. If the third in the expansion of [x + x^(log 10x)]^(6) is 10^(6) ,...

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  14. The middle term in the expansion of (1+(1)/(x^(2)))^n ( 1+x^(2))^(n) i...

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  15. If T0,T1, T2, ,Tn represent the terms in the expansion of (x+a)^n , t...

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  16. The sum sum(i=0)^(m)""^(10)C(i)xx""^(20)C(m-i)("where " ""^(p)C(q)=0" ...

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  17. If m = ( 2013) ! then the value of (1)/(log(2)m) + ( 1)/( log(3)m ) + ...

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  18. sum(r=0)^n nCr (sin rx) is equal to

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  19. Let t(n) denote the n^(th) term in a binomial expansion. If (t(6))/(t...

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