# Question:A strange bug, perhaps in limit.

## Question:A strange bug, perhaps in limit.

Here is a strange one...

1> /Library/Frameworks/Maple.framework/Versions/2019/bin/maple ; exit;
|\^/|     Maple 2019 (APPLE UNIVERSAL OSX)
._|\|   |/|_. Copyright (c) Maplesoft, a division of Waterloo Maple Inc. 2019
<____ ____>  Waterloo Maple Inc.
|       Type ? for help.
> version():
User Interface: 1435526
Kernel: 1435526
Library: 1435526
> I0:=(x - 11)^(n)*x/(x^(n + 1));
n
(x - 11)  x
I0 := -----------
(n + 1)
x

> I1:=(x - 11)^(n)/(x^(n));
n
(x - 11)
I1 := ---------
n
x

> is(I1=I0);
memory used=2.5MB, alloc=40.3MB, time=0.14
true

> Limit(I0,x=infinity)=limit(I0,x=infinity) assuming n::posint;
n
(x - 11)  x
lim       ----------- = infinity
x -> infinity    (n + 1)
x

> Limit(I1,x=infinity)=limit(I1,x=infinity) assuming n::posint;
n
(x - 11)
lim       --------- = 1
x -> infinity      n
x

This was in Maple 2019.2 ... but I had Maple 18 (from 2014) running here, and it does the same thing.

How strange is this: replace 11 by 10 (or less) and the error goes away.

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