I am a bit confused here of whether the following functions diverge or converge.(adsbygoogle = window.adsbygoogle || []).push({});

[tex]\sum[/tex] [tex]\ln x \backslash x[/tex]

I used teh Integral test and got an answer showing the series is divergent where

Is this correct? I graphed the equation and saw an answer such that the equation converged to 0.Code (Text):lim ((ln b)^2) / 2 = infinity

b-> infinity

[tex]\sum[/tex] 2/(x (lnx)^2)

I don't think I did this right either. Using the integral test I got

So it converges to 2 / ln(2)Code (Text):lim -2/(ln b) + 2 / ln(2) = 2 / ln(2)

b-> infinity

Am I allowed to assume that -2/(ln b) -> 0 as b-> infinity?

**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!

# Converge or diverge?

Loading...

Similar Threads - Converge diverge | Date |
---|---|

I Divergence/Convergence for Telescoping series | Mar 25, 2017 |

I Proof of convergence & divergence of increasing sequence | Oct 1, 2016 |

Why does it matter what convergence test I use? | Apr 11, 2016 |

Convergence of improper integrals | Jun 8, 2015 |

Convergence or Divergence of Factorial Series | Apr 26, 2015 |

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