- #1

lovemake1

- 149

- 1

## Homework Statement

Today i came across this one question where i had no clue of how to proove.

it says f(x) = { 1, x rational

......{ ---------------------is periodic but have no period. (Proove it/Show it)

.....{ 0, x irrational

ignore the dots and dashes., just for indentation.

## Homework Equations

## The Attempt at a Solution

I understand so far that 1/1 makes 1 rational, and 1/0 makes 0 irrational.

but how do we know if f(x) = 1 and f(x) = 0 is periodic?

arnt they just verticle line along x-axis ? at y=1 and y=0

im very confused, I am not even sure if i understand what the question is asking.

please help me clearify my thoughts.