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If x is so small that x^(3) and higher ...

If x is so small that `x^(3)` and higher powers of x may be neglected, then `((1+x)^(3//2)-(1+1/2 x))/((1-x)^(1//2))` may be approximated as

A

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

B

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

C

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

D

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

Text Solution

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The correct Answer is:
A
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