A) 2
B) 1
C) ?1
D) None of these
Correct Answer: B
Solution :
Let \[{{\sin }^{-1}}x=y\,\,\Rightarrow x=\sin y\] So \[\underset{y\to 0}{\mathop{\lim }}\,\frac{\sqrt{1+\sin y}-\sqrt{1-\sin y}}{y}\] \[(\because \,\,\,x\to 0\Rightarrow y\to 0)\] \[\underset{x\to 0}{\mathop{\lim }}\,\frac{\log (3+x)-\log (3-x)}{x}=k\]\[\] =1 Aliter : Apply L-Hospital?s rule.You need to login to perform this action.
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