Question 121
João's scientific calculator has a special key that transforms any number $x$ written on the screen, with $x \neq 1$, into the number $\frac{1}{1-x}$.
a) What happens if the number $2$ is written on the screen and we press the special key three times?
b) What happens if the number $2$ is written on the screen and we press the special key ten times?
c) Finally, what happens if the number $2$ is written on the screen and we press the special key $2015$ times?
a) What happens if the number $2$ is written on the screen and we press the special key three times?
b) What happens if the number $2$ is written on the screen and we press the special key ten times?
c) Finally, what happens if the number $2$ is written on the screen and we press the special key $2015$ times?