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<h1>Solución</h1>
<p>En el primer paso, multiplicamos por el conjugado para que podamos usar una identidad trigonométrica y convertir el coseno en el numerador en un seno:
$$\begin{aligned}
   \mathop {\lim }\limits_{\theta  \to 0} {{1 - \cos \theta } \over \theta } &= \mathop {\lim }\limits_{\theta  \to 0} {{1 - \cos \theta } \over \theta } \cdot {{1 + \cos \theta } \over {1 + \cos \theta }}  \\
  & = \mathop {\lim }\limits_{\theta  \to 0} {{1 - {{\cos }^2}\theta } \over {\theta \left( {1 + \cos \theta } \right)}}  \\
  & = \mathop {\lim }\limits_{\theta  \to 0} {{se{n^2}\theta } \over {\theta \left( {1 + \cos \theta } \right)}}  \\
  & = \mathop {\lim }\limits_{\theta  \to 0} {{sen\theta } \over \theta } \cdot {{sen\theta } \over {1 + \cos \theta }}  \\
  & = 1 \cdot {0 \over 2} = 0
 \end{aligned}$$





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