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Question: Answered & Verified by Expert
If $|x|$ is so small that all terms containing $x^2$ and higher powers of $x$ can be neglected, then the approximate value of $\frac{(3-5 x)^{\frac{1}{2}}}{(5-3 x)^2}$, when $x=\frac{1}{\sqrt{363}}$, is
MathematicsBinomial TheoremAP EAMCETAP EAMCET 2017 (24 Apr Shift 2)
Options:
  • A $\frac{\sqrt{3}}{25}$
  • B $\frac{1+30 \sqrt{3}}{75}$
  • C $\frac{1-30 \sqrt{3}}{75}$
  • D $\frac{1+30 \sqrt{3}}{750}$
Solution:
1198 Upvotes Verified Answer
The correct answer is: $\frac{1+30 \sqrt{3}}{750}$
No solution. Refer to answer key.

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