Let's break this problem into two parts and solve them step-by-step.

Part 1: Finding the Limit

First, we need to find the limit of $\frac{1}{x^2}$ as $x$ approaches $0$ from the negative side.

$\lim_{{x \to 0^-}} \frac{1}{x^2}$

The function $\frac{1}{x^2}$ is defined as $x$ approaches $0$ from the negative side. Notice that $x^2$ is always positive regardless of the sign of $x$. As $x$ approaches $0$ from the negative side, $x^2$ approaches $0$ and hence $\frac{1}{x^2}$ becomes infinitely large. Therefore, the limit is:

$\lim_{{x \to 0^-}} \frac{1}{x^2} = \infty$

Part 2: Finding $m$ for Exactly 3 Real Solutions

Next, we need to determine the real values of $m$ for which the equation $f(x) = m$ has exactly three real solutions, given the function $f(x)$.

Assume $f(x) = \frac{1}{x}$. We need to find the real values of $m$ for which the equation $\frac{1}{x} = m$ has exactly three real solutions.

The equation $\frac{1}{x} = m$ simplifies to:

$x = \frac{1}{m}$

For this equation to have exactly three real solutions, we need a bit more information or a different form of the function $f(x)$. However, based on the standard interpretation of the problem and usual functions, let's assume $f(x) = x^3$. In this case, the equation becomes:

$x^3 = m$

The cubic function $x^3 = m$ will intersect a horizontal line $y = m$ exactly three times if and only if $m = 0$ (which means the line touches the origin where the function has an inflection point). Otherwise, for a typical cubic polynomial, the intersections depend on the specific form of the function. However, given the typical cubic polynomial scenario, $m = 0$ is the special case that we need. Hence, there is only one $m$:

$m = 0$

Summary

1. The limit as $x$ approaches $0$ from the negative side of $\frac{1}{x^2}$ is $\infty$.
2. For the function $f(x) = x^3$, the value of $m$ for which the equation $f(x) = m$ has exactly three real solutions is $m = 0$.

Would you like more details or have any questions about these solutions? Here are 5 additional questions you might consider:

1. How do we find the limits of more complex functions?
2. What are the properties of cubic functions and their roots?
3. How do you solve equations involving higher-degree polynomials?
4. Can you explain how the Intermediate Value Theorem helps in finding roots?
5. What is the significance of inflection points in polynomial functions?

Tip: When dealing with limits involving infinity, always consider the behavior of the function as it approaches the point from both sides to understand the full behavior of the function.