3. (5 pts)
Determine the exact value of each of the following limits. If a limit is $\infty$ or $-\infty$, say so. If the limit does not exist, mathematically justify why the limit does not exist. If the tabular is utilized in your solution, you must show a minimum of three tabular values.
a. $\lim_{x \to 0} \frac{\sin(5x)}{3x}$
b. $\lim_{x \to \infty} \frac{1+2x^2-x^3}{5x^3-17x^2+2}$
