Question - Finding the Limit as x Approaches Infinity
Solution:
\[
\begin{align*}
2 \cdot \lim_{{x \to +\infty}} \left( \frac{1}{2x} \right) &= 2 \cdot \lim_{{x \to +\infty}} \left( \frac{1}{2} \cdot \frac{1}{x} \right) \\
&= 2 \cdot \left( \frac{1}{2} \cdot \lim_{{x \to +\infty}} \frac{1}{x} \right) \\
&= 2 \cdot \left( \frac{1}{2} \cdot 0 \right) \\
&= 2 \cdot 0 \\
&= 0
\end{align*}
\]
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