##a_1=1##(adsbygoogle = window.adsbygoogle || []).push({});

##a_{n+1}=\frac{1}{2} ( a_{n} + \frac{b}{a_n} )##

This should converge to ##\sqrt{b}## but I seem not to be able to prove this. Could someone give me a hint.

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

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!

# Convergence of the sequence from Heron's method.

Loading...

Similar Threads - Convergence sequence Heron's | Date |
---|---|

A Convergence of a cosine sequence in Banach space | Jun 4, 2016 |

Need some kind of convergence theorem for integrals taken over sequences of sets | Jan 22, 2016 |

Sequence is norm convergent implies it's strongly convergent | Nov 8, 2015 |

Every sequence has a convergent subsequence? | Nov 2, 2014 |

Sequence Convergence | Mar 25, 2013 |

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