I am currently reading through my notes and found the convergent series to be defined.(adsbygoogle = window.adsbygoogle || []).push({});

lxn - Ll is less than (epsilon) whenever n is greater or equal to N

...i have looked on wikpedia and a few other web sites and i am not making any sense of what this N is...

wikipedia says - 'a series converges if there exists a limit L such that for any arbitrarily small positive number epsilon > 0, there is a large integer N such that for all n greather equal to N.'

I know that epsilson is the measure of closeness so that as n tends to infinity epsilon tends to 0.

What is this large interger N and why does n have to be greater or equal to it?

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

Dismiss Notice

Join Physics Forums Today!

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

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

# Convergent series - What is this N thing?

Loading...

Similar Threads - Convergent series thing | Date |
---|---|

I Divergence/Convergence for Telescoping series | Mar 25, 2017 |

I Convergence of Taylor series in a point implies analyticity | Dec 10, 2016 |

A Convergence of an infinite series of exponentials | Nov 2, 2016 |

I Alternating Series, Testing for Convergence | Apr 13, 2016 |

Converging series | Jan 17, 2016 |

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