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## #964 limit(a^x,x,inf) can't solve for a : abs(a) < 1

closed
nobody
5
2007-11-11
2006-07-25
andrei_dubovik
No

limit(a^x,x,inf) can't solve for x : abs(x) < 1.
Consider the following session (there is also a

(%i1) limit((-1/2)^x,x,inf);
(%o1)                                  0
(%i2) limit((-2/3)^x,x,inf);
x
(- 2)
(%o2)                           limit    ------
x -> inf    x
3
(%i3) limit((-1/%pi)^x,x,inf);
(%o3)                                 und
(%i4) declare(x,integer);
(%o4)                                done
(%i5) limit((-1/%pi)^x,x,inf);
(%o5)                                  0
(%i6) limit((-2/%pi)^x,x,inf);
x
(- 2)
(%o6)                           limit    ------
x -> inf     x

## Discussion

• andrei_dubovik
2006-07-25

A screenshot of the session

Attachments

• andrei_dubovik
2006-07-25

Logged In: YES
user_id=1560916

I meant in title, of course, for a : abs(a) < 1.

• andrei_dubovik
2006-07-25

• summary: limit(a^x,x,inf) can't solve for x : abs(x) < 1 --> limit(a^x,x,inf) can't solve for a : abs(a) < 1

• Dan Gildea
2007-11-11

Logged In: YES
user_id=1797506
Originator: NO

Fixed in limit.lisp rev 1.46.

(%i6) limit((-1/2)^x,x,inf);
(%o6) 0
(%i7) limit((-2/3)^x,x,inf);
(%o7) 0
(%i8) limit((-1/%pi)^x,x,inf);
(%o8) 0
(%i9) declare(x,integer);
(%o9) done
(%i10) limit((-1/%pi)^x,x,inf);
(%o10) 0
(%i11) limit((-2/%pi)^x,x,inf);
(%o11) 0

• Dan Gildea
2007-11-11

• status: open --> closed