Limits Evaluate the following limits. Use l'Hôpital's Rule when needed.

\(\lim \limits_{\theta \rightarrow 0} \frac{3 \sin ^{2} 2 \theta}{\theta^{2}}\)

Solution Step 1 2 In this problem we have to evaluate the limit lim 3sin 2by using l'Hôpital's Rule when 0 2 needed. l'Hôpital's Rule: f(x) f(x) Suppose that we have one of the following cases, lim g(x)= o0 lim g(x)= ± xa xa Where a can be any real number, infinity or negative infinity. In these cases we have lim f(x)= lim f(x) xa g(x) xa gx)