Hi all, perhaps someone can shed some light on the following sum:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]

\lim_{m\rightarrow\infty}\frac{1}{m}\sum_{k=1}^{m-1}\left[1-\left(\frac{k}{2m-k}\right)^{1/2} \right]^2

[/tex]

What particularly throws me off is having the m variable as part of the summands. I have ran numerical simulations and it appears to "converge" to a constant as m grows large.

Any pointers to some theory that could help me solve this is greatly appreciated :)

**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!

# Pointers for solving a sum

Loading...

Similar Threads - Pointers solving | Date |
---|---|

I Solving an integral | Monday at 4:38 PM |

I Solving integral | Feb 9, 2018 |

I Understanding an integral | Jan 31, 2018 |

B Solve for x (natural log equation) | Dec 6, 2017 |

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