Let f: (0,1] ->Rbe differentiable on (0,1], with |f(x)|<=1 for all x in (0,1]. For each n inN, let a(sub n)=f(1/n). Show that a(sub n), with n inN, converges.

Printable View

- Nov 11th 2008, 08:21 AMdhhnerdReal Analysis Problem
Let f: (0,1] ->

**R**be differentiable on (0,1], with |f(x)|<=1 for all x in (0,1]. For each n in**N**, let a(sub n)=f(1/n). Show that a(sub n), with n in**N**, converges. - Nov 12th 2008, 06:12 PMThePerfectHacker