Hi everyone. This is my first post here and I was wondering if any of you could help me.
The question is to prove that
1 + \frac{x}{3} - \frac{x^2}{9} < (1 + x)^\frac{1}{3} < 1 + \frac{x}{3} if x>0.
The question is in a section on the lagrange remainder theorem. The fact that the first...