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Question

$\mathop {\lim }\limits_{x \to {1 \over {\sqrt 2 }}} {{\sin ({{\cos }^{ - 1}}x) - x} \over {1 - \tan ({{\cos }^{ - 1}}x)}}$ is equal to :

$\sqrt 2 $
$ - \sqrt 2 $
${1 \over {\sqrt 2 }}$
$ - {1 \over {\sqrt 2 }}$

Solution

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