JEE Mains · Maths · STD 11 - 12. limits
\(\lim _{x \rightarrow 0} \frac{\sin ^{2}\left(\pi \cos ^{4} x\right)}{x^{4}}\) is equal to :
- A \(\pi^{2}\)
- B \(2 \pi^{2}\)
- C \(4 \pi^{2}\)
- D \(4 \pi\)
Answer & Solution
Correct Answer
(C) \(4 \pi^{2}\)
Step-by-step Solution
Detailed explanation
\(\lim _{x \rightarrow 0} \frac{\sin ^{2}\left(\pi \cos ^{4} x\right)}{x^{4}}\) \(\lim _{x \rightarrow 0} \frac{1-\cos \left(2 \pi \cos ^{4} x\right)}{2 x^{4}}\)…
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