Question 20
Suppose there is a special key on a calculator that replaces the number $x$ currently displayed with the number given by the formula $\frac{1}{1 - x}.$ For example, if the calculator is displaying $2$ and the special key is pressed, then the calculator will display $-1$ since $\frac{1}{1 - 2} = -1.$ Now suppose that the calculator is displaying $5.$ After the special key is pressed $100$ times in a row, the calculator will display