I am reading Principles Of Mathematical Analysis by Walter Rudin.(adsbygoogle = window.adsbygoogle || []).push({});

Chapter 8, Equation 28 needs some clarification.

We are taking a lim as h->0 on a series. Value of series is lim as n->INF on the squence of partial

sums. So first we take lim as n->INF on a sequence of partial sums and then we are taking

lim as h->0. But can we interchange the order of limits. If so result is immediate.

But how to prove that we can change the order of limits? Is it that we have to use Thearem 7.11?

Please help me.

**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!

# Principles Of Mathematical Analysis-Walter Rudin

Loading...

Similar Threads - Principles Mathematical Analysis | Date |
---|---|

I The Well-Ordering Principle for the Natural Numbers ... | Jul 16, 2017 |

Principles Of Mathematical Analysis-Walter Rudin | Jan 11, 2014 |

Poor Symbol choice - Principles of Mathematical Analysis by Rudin | Oct 21, 2013 |

Walter Rudin's Principles of Mathematical Analysis | Jun 16, 2012 |

1.21 Proof Rudin Principles of Mathematical Analysis - Uniqueness of the n-roots in R | May 28, 2012 |

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