Question:medium
If \( x \) is numerically so small that \( x^{2} \) and higher powers of \( x \) can be neglected, then \( \left(1+\frac{2x}{3}\right)^{3/2} \cdot (32+5x)^{-1/5} \) is approximately equal to
If \( x \) is numerically so small that \( x^{2} \) and higher powers of \( x \) can be neglected, then \( \left(1+\frac{2x}{3}\right)^{3/2} \cdot (32+5x)^{-1/5} \) is approximately equal to
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$(1+x)^n \approx 1 + nx$ when $|x| \ll 1$.
Updated On: Apr 10, 2026
- $\frac{32+31x}{64}$
- $\frac{31+32x}{64}$
- $\frac{31-32x}{64}$
- $\frac{1-2x}{64}$
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The Correct Option is A
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