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

My calculus book describes the following example:

Equation:

[tex]\lim_{x \rightarrow 0} \sin \frac{\pi}{x} = \text{does not exist}[/tex]

However, my independent research indicates that it is actually:

Equation:

[tex]\lim_{x \rightarrow 0} \sin \frac{\pi}{x} = \text{Interval}(-1,1)[/tex]

Is this second solution only theoretical, and not a real valid solution in a Calculus I course?

**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!

# Theoretical Limits

Loading...

Similar Threads for Theoretical Limits | Date |
---|---|

B Question about a limit definition | Feb 27, 2018 |

I Looking for additional material about limits and distributions | Feb 17, 2018 |

Theoretical integralclosed smooth contour | Apr 19, 2011 |

Measure theoretically equivalent | Dec 3, 2009 |

Theoretic or vector notation | Jan 8, 2004 |

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