A) 1
B) e
C) Öe
D) \[{{e}^{-1/2}}\]
Correct Answer: D
Solution :
\[\underset{x\to \pi /6}{\mathop{\lim }}\,{{\left( 4-3\sin x-2{{\cos }^{2}}x \right)}^{1/(2\sin x-1)}}\] \[\underset{x\to \pi /6}{\mathop{\lim }}\,{{\left[ \frac{\left\{ 1+(2\sin x-1)(\sin x-1) \right\}}{{}^{1}/{}_{(2\sin x-1)(\sin x-1)}} \right]}^{\sin x-1}}={{e}^{-1/2}}\]You need to login to perform this action.
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