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

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)^(3))/((1-x)^(1//2))` may be approximated as:

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
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