Chapter 11 - Laboratory Project - An Elusive Limit - Page 773: 1

$f(1) \approx 1.18383$ $f(0.1) \approx 1.01673$ $f(0.01) \approx 0$ $f(0.001) \approx 2$ $f(0.0001) \approx 3.3333$ It appears that $f(x)$ does not have a limit as $x$ approaches $0$.

Plug the values into the equation and evaluate using a calculator. Although the first two values of x appear to approach 1, but as $x $ gets closer to 1, the value increases, therefore, $f(x)$ does not have a limit as $x$ approaches $0$.