JEE Mains · Maths · STD 11 - 12. limits
\(\mathop {\lim }\limits_{x \to \pi /4} \frac{{{{\cot }^3}\,x - \tan \,x}}{{\cos \left( {x + \pi /4} \right)}}\) is
- A \(4\)
- B \(4 \sqrt 2\)
- C \(8 \sqrt 2\)
- D \(8\)
Answer & Solution
Correct Answer
(D) \(8\)
Step-by-step Solution
Detailed explanation
Using \(LH\) rule \(\mathop {\lim }\limits_{x \to \frac{\pi }{4}} \frac{{3{{\cot }^2}x\left( { - \cos \,e{c^2}x} \right) - {{\sec }^2}x}}{{ - \sin \left( {x + \frac{\pi }{4}} \right)}} = 8\)
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