Question

If $f(x) = \begin{cases} x^2\sin(\frac{\pi}{6}x) & for\ x\leq-3 \\\ x\cos(\frac{\pi}{3}x) & for\ x\gt-3 \end{cases}$, then the value of $\displaystyle\lim_{x\rightarrow3}f(x)\ is\ equal\ to$

• A. 3
• B. -3
• C. 9
• D. -9
• E. 0

Answer 1

Answer: (A)

3

Answer 2

The correct option is (A) : 3