Ski lifts are an important cable transport that helps to carry skiers up a hill, so that they can easily enjoy skiing down the hill.
Which portion of the ski lift is the steepest?
We know that .
Is it also true that ?
For some positive integer , let denote function of as stated above.
What is the value of the limit below?
Let be the unique real number such that the equation has a unique solution. Compute .