1. Find the horizontal asymptotes of the graph of the function g(x) = \frac{|f(x)|}{x-2} if f(x) satisfies inequality f(x+1) \le x \le f(x)+1 for every real x.
2. Let f: R->R be a function that is differentiable at zero and such that f(0) = 0. Show that for each n\in\mathbb{N} we have that...