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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 power of `x` may neglected, then `((1 + x)^(3/2) - (1 + 1/2x)^(3))/(1 - x)^(1/2)` may be approximated as

A

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

B

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

C

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

D

`- 3/8x^(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
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