Message Boards

13582 Views

7 Replies

1 Total Likes

View groups...

Follow this post

Share this post:

GROUPS:

Mathematics Mathematica Wolfram|Alpha Calculus Wolfram Language

Bug in LaguerreL Limit ?

Posted 9 years ago

I have found a bug in Limit. I have Mathematica 10.0.1.0 on Windows 8.1. Limit[(n!* LaguerreL[ n, -1]/(n^(n + 1/4)/Sqrt[2]/E^(n - 2 Sqrt[n] + 1/2)) - 1) Sqrt[n], n -> 1000] // N Output: 0.649562 Limit[(n!* LaguerreL[ n, -1]/(n^(n + 1/4)/Sqrt[2]/E^(n - 2 Sqrt[n] + 1/2)) - 1) Sqrt[n], n -> Infinity] Output:13/16 = 0.8125

I have found a bug in Limit. I have Mathematica 10.0.1.0 on Windows 8.1.

enter image description here

Limit[(n!*
      LaguerreL[
        n, -1]/(n^(n + 1/4)/Sqrt[2]/E^(n - 2 Sqrt[n] + 1/2)) - 
     1) Sqrt[n], n -> 1000] // N

Output: 0.649562

Limit[(n!*
      LaguerreL[
        n, -1]/(n^(n + 1/4)/Sqrt[2]/E^(n - 2 Sqrt[n] + 1/2)) - 
     1) Sqrt[n], n -> Infinity]

Output:13/16 = 0.8125

POSTED BY: Mariusz Iwaniuk

7 Replies

Sort By:

Posted 9 years ago

When you say "I have found a bug in Limit" do you mean you found it on another forum? If so, that should be mentioned explicitly, so as to avoid any appearance of claiming credit for another's work.