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## Homework Statement

prove (0,1)=[0,1]

Define f;(0,1)-->R as follows.

For n[tex]\in[/tex]natural numbers, n[tex]\geq[/tex]2, f(1/n)=1/(n-1) and for all other x[tex]\in[/tex](0,1), f(x)=x.

## Homework Equations

## The Attempt at a Solution

I know I need to start proving f is a 1-1 function from (0,1) into (0,1]. The problem si getting started.

I know for 1-1 f(y)=f(z) implies y=z.