1. The problem asks for the limit of the function $f(x) = \frac{1}{x}$ as $x$ approaches $0$ from the positive side, written as $\lim_{x \to 0^+} \frac{1}{x}$.\n\n2. When $x$ approaches $0$ from the right (positive) side, $x$ is a very small positive number.\n\n3. As $x$ gets closer to $0$ from the positive side, $\frac{1}{x}$ becomes larger and larger because dividing 1 by a very small positive number results in a very large positive number.\n\n4. Therefore, $\lim_{x \to 0^+} \frac{1}{x} = +\infty$.\n\nFinal answer: a. $+\infty$