I have an example bit I can't quite follow it....?(adsbygoogle = window.adsbygoogle || []).push({});

Use epsilon -delta definition of continuity to prove f(x) = 3x^2 - x is continuous at x=2

Ep > 0 and delta > 0 in terms of Ep

f(x) -f(2) = 3x^2 - x -(3*2^2 -2)

f(x) - f(2) = 3x^2 -x - 10

f(x) - f(2) = (3x + 5)(x - 2)

So far so good - but now can someone explain what happens please......!!

James

**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!

# Epsilon delta to prove continuity

Loading...

Similar Threads - Epsilon delta prove | Date |
---|---|

Is learning epsilon-delta proofs before analysis a good idea | Jan 2, 2015 |

Really couldn't catch the concept on epsilon and delta in limits | May 26, 2012 |

Limits, find delta given epsilon | Sep 7, 2009 |

Find delta given epsilon limits | Sep 4, 2009 |

Epsilon-Delta Definition to prove the L'Hopital's Rule | Oct 10, 2008 |

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