Multiple choice

$lim_{\theta \rightarrow 0} \frac{sin(\theta / 2)}{\theta}$ is

  1. 0.5

  2. 1

  3. 2

  4. not defined
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

$lim_{\theta \rightarrow 0} \frac{sin(\theta / 2)}{\theta} = lim_{\theta \rightarrow 0} \frac{sin(\theta / 2)}{2(\theta / 2)} = \frac{1}{2} lim_{\theta \rightarrow 0} \frac{sin(\theta / 2)}{(\theta / 2)} = \frac{1}{2} = 0.5$

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