AP EAMCET · Maths · Limits
\(\cos \left[\lim _{x \rightarrow \infty} \frac{2 \pi|x|+\pi x}{|x|-3 x}+\lim _{x \rightarrow 0} \frac{\cos \left(\frac{\pi}{2} \cos ^2 x\right)}{x^2}\right]\)
- A 1
- B -1
- C 0
- D \(\frac{1}{\sqrt{2}}\)
Answer & Solution
Correct Answer
(B) -1
Step-by-step Solution
Detailed explanation
\begin{aligned} & \text { } \cos \left[\lim _{x \rightarrow \infty} \frac{2 \pi|x|+\pi x}{|x|-3 x}+\lim _{x \rightarrow 0} \frac{\cos \left(\frac{\pi}{2} \cos ^2 x\right)}{x^2}\right] \\ & =\cos \left[\lim _{x \rightarrow \infty} \frac{2 \pi x+\pi x}{x-3 x}+\lim _{x \rightarrow…
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