Sequences a_n and b_n are defined in the follwing way:(adsbygoogle = window.adsbygoogle || []).push({});

a_1=x;

b_1=y;

where 0<x<y

and:

a_(n+1) = (a_n+b_n)/2

b_(n+1) = sqrt(a_(n+1)+b_n)

Proof, that both sequences are convergent to the same limit and find this limit.

Thanks a lot for any help.

**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!

# Finding limit

Loading...

Similar Threads - Finding limit | Date |
---|---|

I Is it possible to find the limit of (1+1/x)^x as x approaches -infinity? | May 28, 2017 |

I How to find outer limit of integration for this triple integ | Dec 3, 2016 |

B How do you find the limit of this? | Sep 3, 2016 |

Find This Limit Please | Jan 23, 2016 |

How to Find This Limit? | Jan 17, 2016 |

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