Hi all. I encountered the following problem:(adsbygoogle = window.adsbygoogle || []).push({});

lim x->0 x * cot(x). My calculator gives the value of 1 for this limit, which can be corroborated by looking at the graph of y = x * cot(x).

However, I reason that it should be zero, because:

lim x->0 x * cot(x) = (lim x->0 x) * (lim x->0 cot(x))

= 0 * lim x->0 cot(x)

= 0 (because anything multiplied by zero is zero.)

Clearly, my reasoning is flawed. What is wrong with it? And what is the correct way to do this problem?

Thank you.

**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!

# Simple limit question

Loading...

Similar Threads - Simple limit question | Date |
---|---|

Simple question on integrals and limits | Jul 18, 2010 |

Simple limits question | Sep 5, 2009 |

Simple question about limits | Dec 23, 2008 |

Simple limit question. need a little help please | Apr 4, 2007 |

Simple limit question | Oct 14, 2005 |

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