1. The problem is to evaluate the expression $0 \times \infty$. 2. In mathematics, $0 \times \infty$ is an indeterminate form, meaning it does not have a well-defined value without additional context. 3. This is because multiplying zero by an infinitely large quantity can lead to different limits depending on how the values approach zero and infinity. 4. For example, if you consider the limit $\lim_{x \to 0} x \cdot \frac{1}{x}$, it equals 1, but if you consider $\lim_{x \to 0} x \cdot \frac{1}{x^2}$, it diverges to infinity. 5. Therefore, $0 \times \infty$ is not simply zero or infinity; it requires more information about the functions or sequences involved to determine the limit or value. 6. In summary, $0 \times \infty$ is an indeterminate form and cannot be assigned a specific value without further context.