Finding Limits: Numerical and Graphical Approaches · Exercise 50

Use a graphing utility to find numerical or graphical evidence to determine the left and right-hand limits of the function given as $x$ approaches $a.$ If the function has a limit as $x$ approaches $a,$ state it. If not, discuss why there is no limit.

Use numerical and graphical evidence to compare and contrast the limits of two functions whose formulas appear similar: $f\left(x\right)=\left|\frac{1-x}{x}\right|$ and $g\left(x\right)=\left|\frac{1+x}{x}\right|$ as $x$ approaches 0. Use a graphing utility, if possible, to determine the left- and right-hand limits of the functions $f\left(x\right)$ and $g\left(x\right)$ as $x$ approaches 0. If the functions have a limit as $x$ approaches 0, state it. If not, discuss why there is no limit.

Its source prints no answer for this problem, so there's nothing to check against.

OpenStax, Precalculus 2e · §12.1 Finding Limits: Numerical and Graphical Approaches · Exercise 50