Question:
For n ≥ 3, let a regular n-sided polygon Pn be circumscribed by a circle of radius Rn and let rn be the radius of the circle inscribed in Pn. Then
\(\lim\limits_{n \rightarrow \infin}(\frac{R_n}{r_n})^{n^2}\)
equals
For n ≥ 3, let a regular n-sided polygon Pn be circumscribed by a circle of radius Rn and let rn be the radius of the circle inscribed in Pn. Then
\(\lim\limits_{n \rightarrow \infin}(\frac{R_n}{r_n})^{n^2}\)
equals
\(\lim\limits_{n \rightarrow \infin}(\frac{R_n}{r_n})^{n^2}\)
equals
Updated On: Dec 1, 2024
- \(e^{(\pi^2)}\)
- \(e^{(\frac{\pi^2}{2})}\)
- \(e^{(\frac{\pi^2}{3})}\)
- \(e^{2\pi^2}\)
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The Correct Option is B
Solution and Explanation
The correct option is (B) : \(e^{(\frac{\pi^2}{2})}\).
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