x→∞limsec−1{(x−12x+1)x)cot−1(x+1−x) is equal to

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$x \to \infty lim \frac{cot ^{- 1} ( x + 1 - x )}{sec ^{- 1} { ( \frac{2 x + 1}{x - 1} ) ^{x} )}$ is equal to

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x \to \infty lim \frac{cot ^{- 1} ( x + 1 - x )}{sec ^{- 1} { ( \frac{2 x + 1}{x - 1} ) ^{x} )}

is equal to

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Question Text

x \to \infty lim \frac{cot ^{- 1} ( x + 1 - x )}{sec ^{- 1} { ( \frac{2 x + 1}{x - 1} ) ^{x} )}

is equal to