Question

\[ \lim_{x \rightarrow \frac{2}{3}} \frac{\sin\left(\pi \cos^2(3x-2)\right)} {9x^2-12x+4} = \ ? \] 

• A. \(\pi \)
• B. \(2\pi \)
• C. \(\frac{\pi}{2} \)
• D. \(\frac{3\pi}{2} \) \bigskip

Hint:

For limits of type \(\frac{\sin f(x)}{g(x)}\), convert to small-angle form \(\sin t \sim t\).

Answer 1

The Correct Option is A