JEE Mains · Maths · STD 11 - 12. limits
\(\mathop {\lim }\limits_{x \to \frac{\pi }{2}} \frac{{\cot x - \cos x}}{{{{\left( {\pi - 2x} \right)}^3}}} = \) . . . .
- A \(\frac{1}{4}\)
- B \(\frac{1}{{24}}\)
- C \(\frac{1}{{16}}\)
- D \(\frac{1}{8}\)
Answer & Solution
Correct Answer
(C) \(\frac{1}{{16}}\)
Step-by-step Solution
Detailed explanation
\mathop {\lim }\limits_{x \to \frac{\pi }{2}} \frac{{\cot \,x\left( {1 - \sin \,x} \right)}}{{ - 8{{\left( {x - \frac{\pi }{2}} \right)}^3}}} = \mathop {\lim }\limits_{x \to \frac{\pi }{2}} \frac{{\cot \,x\left( {1 - \sin \,x} \right)}}{{8{{\left( {\frac{\pi }{2} - x}…
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