# cannot calculate limit

No answer from Sage-6.4.1 for this limit :

var('n'); u = (1+sqrt(n))^(-n); limit(u(n=n+1)/u,n=infinity)

Sage 4.7 gives 0 (correct). Why ?

cannot calculate limit

No answer from Sage-6.4.1 for this limit :

var('n'); u = (1+sqrt(n))^(-n); limit(u(n=n+1)/u,n=infinity)

Sage 4.7 gives 0 (correct). Why ?

1

I do not know exactly why, probably a regression in `maxima`

. If you really want to know, you should provide a smaller interval of versions than (4.7, 6.4.1) so that we can have a look at the guilty commit. That said, you can still ask `sympy`

to do that:

```
sage: limit(u(n=n+1)/u,n=infinity, algorithm="sympy")
0
```

The maxima command is: limit((1+sqrt(n+1))^(-n-1)/(1+sqrt(n))^(-n),n,inf)

Returns zero with Maxima 5.24.0 and is not evaluated when running in http://sagecell.sagemath.org/

Thanks @robert.marik - I reported this upstream at https://sourceforge.net/p/maxima/bugs...

Asked: **
2015-01-30 04:20:28 -0500
**

Seen: **149 times**

Last updated: **Jan 30 '15**

sage cannot get the simplest form on the limit expression with binomial and exponential operations

How do I understand the result of symbolic integrals

Why is Sage calling 1 a variable?

$p$-adic regulator calculations

Limits of functions of two variables

string monoid class should define one()

A simple problem related to symbolic calculation

Copyright Sage, 2010. Some rights reserved under creative commons license. Content on this site is licensed under a Creative Commons Attribution Share Alike 3.0 license.

This is now http://trac.sagemath.org/ticket/17709