JEE Mains · Maths · STD 11 - 12. limits
\(\lim \limits_{x \rightarrow \frac{1}{\sqrt{2}}} \frac{\sin \left(\cos ^{-1} x\right)-x}{1-\tan \left(\cos ^{-1} x\right)}\) is equal to
- A \(\sqrt{2}\)
- B \(-\sqrt{2}\)
- C \(\frac{1}{\sqrt{2}}\)
- D \(-\frac{1}{\sqrt{2}}\)
Answer & Solution
Correct Answer
(D) \(-\frac{1}{\sqrt{2}}\)
Step-by-step Solution
Detailed explanation
\(\lim \limits_{x \rightarrow \frac{1}{\sqrt{2}}} \frac{\sin \left(\cos ^{-1} x\right)-x}{1-\tan \left(\cos ^{-1} x\right)}\)…
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