Calculating Limits Numerically

Let $f(x)=2x^3-4x+1$ and let $g(x)=\frac{e^x-1}{x}.$

$($a$)$ Use Python code to evaluate the function $f$ at appropriate values to calculate $\underset{x3}{lim}f(x).$ Hint: Evaluate

$f$ at values closer and closer to $3$ and see what value the outputs get close to$.$

$($b$)$ Use Python code to evaluate the function $g$ at appropriate values to calculate $\underset{x0}{lim}g(x).$

$($c$)$ Could the limits in parts $($a$)$ and $($b$)$ be calculated by plugging in the value where the limit is taken

into the function? Explain. What does this mean in terms of continuity?