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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

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

B

`-3/8 x^(2)`

C

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

D

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

Text Solution

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The correct Answer is:
A
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