Let f: R->R. If f is infinitely differentiable and analytic on a dense set is f analytic? Is this true if we restric f to [0,1]?(adsbygoogle = window.adsbygoogle || []).push({});

note: by analytic I mean the radius of convergence of the taylor expansion is non-zero about every point.

Maybe this is simple but I was thinking about it and can't figure it out

**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!

# If f is infinitely differentiable and analytic on a dense set is f analytic?

Loading...

Similar Threads - infinitely differentiable analytic | Date |
---|---|

Differentiable and non-differentiable at infinite points | Oct 27, 2013 |

Infinitely differentiable functions | May 14, 2012 |

Infinitely differentiable function | May 10, 2012 |

Infinitely differentiable vs. continuously differentiable vs. analytic? | Oct 31, 2011 |

How to prove if f(x) is infinitely differentiable | Oct 24, 2010 |

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