Hello all,(adsbygoogle = window.adsbygoogle || []).push({});

For a monotonic increasing/decreasing function [tex] f(x) [/tex] on [tex] x \in \mathbb{R}[/tex], we can only have supremum/infimum which is occured at [tex] x = \infty[/tex] with value [tex] \lim_{x\uparrow \infty}f(x) [/tex] Otherwise, if it was a maximum/minimum, it would violate the assumption of monotonicity.

Am I correct on the above statement?

**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!

# Property of Monotonic Functions

Loading...

Similar Threads - Property Monotonic Functions | Date |
---|---|

A Convergence properties of integrals | Oct 6, 2016 |

I Proofs of various integral properties | Oct 5, 2016 |

I Markov property: compatible with momentum? | Jun 6, 2016 |

I Epsilon-Delta definition property. | Mar 22, 2016 |

Monotonicity of the ratio of two power series | Sep 30, 2014 |

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