AP EAMCET · Maths · Limits
\(\lim _{\rightarrow-}\left(\frac{-\pi}{\cos }\right)\) is equal to
- A \(0\)
- B \(\frac{1}{2}\)
- C \(-2\)
- D \(5\)
Answer & Solution
Correct Answer
(C) \(-2\)
Step-by-step Solution
Detailed explanation
Let \(\ell=\lim _{x \rightarrow 2} \frac{\pi}{2}\left(\frac{2 x-\pi}{\cos x}\right) \quad\left[\right.\) form \(\left.\frac{0}{0}\right]\) Use L' Hospital rule \(=\lim _{x \rightarrow \pi / 2} \frac{2}{-\sin x}=\frac{2}{-1}=-2\)
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