Question

lim (m→0) (1 - cos m) m² = ____.

• A. 0
• B. 1
• C. 0.5
• D. 2

Hint:

Alternatively, use L'Hôpital's Rule twice: Differentiate once: $\frac{\sin m}{2m}$ Differentiate again: $\frac{\cos m}{2}$ Substitute $m=0$: $\frac{\cos 0}{2} = \frac{1}{2} = 0.5$.

Answer 1

The Correct Option is C