Limits, Continuity & Differentiability
General
Grade 12
Question:
<p>limx→0
sin2(π cos4 x)
x4
is equal to:</p>
Step-by-Step Solution
Key Concept: General
<p>sin2(\pi(1 -sin2 x)2) \approxsin2(\pi -2\pix2) = sin2(2\pix2) \approx4\pi2x4. Limit = 4\pi2. Option (3).</p>
Correct Answer: (3)