Determine whether each limit is equal to $\infty$ or $-\infty$.${\lim }_{x\to \infty }{x}^2-4$

Step by Step Solution: Step 1. Observe that as x approaches infinity, the term x^2 will become very large. Step 2. Thus, as x becomes very large, the expression x^2 - 4 will become very large as well. Step 3. Therefore, the limit as x approaches infinity of x^2 - 4 is equal to infinity. Final Answer: ${\lim }_{x\to \infty }{x}^2-4=\infty$