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Question

Question: \(\lim_{x \rightarrow \infty}\frac{1 - (2\sin x)^{2n}}{1 + (2\sin x)^{2n}}\)is NOT continuous at x =...

limx1(2sinx)2n1+(2sinx)2n\lim_{x \rightarrow \infty}\frac{1 - (2\sin x)^{2n}}{1 + (2\sin x)^{2n}}is NOT continuous at x =

A

π/6

B

π/4

C

π/2

D

None of these

Answer

π/6

Explanation

Solution

(2 sin x)2 = 1 at x = ± π/6.