True or False, with a proof or counterexample.(adsbygoogle = window.adsbygoogle || []).push({});

a) If bn ≠ 0 and an/bn →1, then an-bn → 0

b) If bn ≠ 0, bn is bounded and an/bn → 1 then an-bn → 0

At the moment I cannot even see which is false so I am struggling with this question. I think the proof will require use of the quotient combination rule and the sum combination rule but I cannot see where to start! Any help would be appreciated!

**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!

# Analysis Applying Combination Rules

Loading...

Similar Threads - Analysis Applying Combination | Date |
---|---|

I A question about Vector Analysis problems | Oct 4, 2017 |

I Must functions really have interval domains for derivatives? | Jul 26, 2017 |

I Fredholm integral equation with separable kernel | Jul 9, 2017 |

A Inverse Laplace transform of a piecewise defined function | Feb 17, 2017 |

Vector analysis: \nabla applied on integral? | Dec 12, 2008 |

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