the function f(x) = 1 if x is rational(adsbygoogle = window.adsbygoogle || []).push({});

f(x) = 0 if x is irrational is not continuous for all real numbers, c

the function f(x) = x if x is rational

f(x) = 0 if x is irrationa is continuous at x=0 and not continuous for all other real numbers c

the function f(x) = 1/q if x is rational and x = p/q in lowest terms

f(x) = 0 if x is irrational

is continuous at c if c is irrational and not continuous at c if c is rational

I'm terrible at proofs, please help!

**Physics Forums - The Fusion of Science and Community**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Function proofs

Loading...

Similar Threads - Function proofs | Date |
---|---|

I Express power sums in terms of elementary symmetric function | Feb 22, 2017 |

Function scales eigenvalues, but what happens to eigenvectors? | Oct 5, 2014 |

Proof of inner product for function space | Aug 29, 2009 |

Proof for non constant polynomial function | Jun 13, 2009 |

Proof for nonexistence of a prime counting function? | Mar 22, 2006 |

**Physics Forums - The Fusion of Science and Community**