14. $$ \lim _{x \rightarrow 0} \frac{\sec 2 x}{\sqrt{x+4}} $$

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Calculate the limit $$ \lim_{x \rightarrow 0} \frac{\sec(2x)}{\sqrt(x+4)} $$.
Evaluate the limit by following steps:
- step0: Evaluate the limit:
  $$\lim _{x\rightarrow 0}\left(\frac{\sec\left(2x\right)}{\sqrt{x+4}}\right)$$
- step1: Rewrite the expression:
  $$\frac{\lim _{x\rightarrow 0}\left(\sec\left(2x\right)\right)}{\lim _{x\rightarrow 0}\left(\sqrt{x+4}\right)}$$
- step2: Calculate:
  $$\frac{1}{\lim _{x\rightarrow 0}\left(\sqrt{x+4}\right)}$$
- step3: Calculate:
  $$\frac{1}{2}$$
The limit of $$ \frac{\sec 2x}{\sqrt{x+4}} $$ as $$ x $$ approaches 0 is $$ \frac{1}{2} $$ or 0.5.
The limit is $$ \frac{1}{2} $$ or 0.5.

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