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 a. `3x+3/8x^2` b. `1-3/8x^2` c. `x/2-3/xx^2` d. `-3/8x^2`

Explanation

To solve the problem, we will simplify the expression step by step while neglecting higher powers of \( x \).

### Step-by-Step Solution:

1. **Expression Setup**:
We start with the expression:
\[
\frac{(1+x)^{3/2} - (1+\frac{1}{2}x)^3}{(1-x)^{1/2}}
...