Do you agree: limit(ABS(x)^n,n,∞,1); => undef (One-sided limit: n≥0)
05-22-2018, 06:36 PM
Post: #5
 parisse Senior Member Posts: 1,269 Joined: Dec 2013
RE: Do you agree: limit(ABS(x)^n,n,∞,1); => undef (One-sided limit: n≥0)
Limits at infinity should use the syntax limit(expression,variable,inf) for +infinity or -inf for -infinity, there is no support for sided-limit at infinity because there is no need to.
As Arno K explained, the limit of abs(x)^n at n=+infinity depends on x, you must make assumptions otherwise you get undef.
0^n is undefined, and 0^n is evaluated before the limit in limit(0^n,n,inf). You can quote to prevent evaluation. Of course that's not really the kind of computation that I run with a CAS :-)
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 Messages In This Thread Do you agree: limit(ABS(x)^n,n,∞,1); => undef (One-sided limit: n≥0) - DrD - 05-22-2018, 01:13 PM RE: Do you agree? - pier4r - 05-22-2018, 03:30 PM RE: Do you agree: limit(ABS(x)^n,n,∞,1); => undef (One-sided limit: n≥0) - DrD - 05-22-2018, 03:38 PM RE: Do you agree: limit(ABS(x)^n,n,∞,1); => undef (One-sided limit: n≥0) - Arno K - 05-22-2018, 05:42 PM RE: Do you agree: limit(ABS(x)^n,n,∞,1); => undef (One-sided limit: n≥0) - DrD - 05-23-2018, 12:06 PM RE: Do you agree: limit(ABS(x)^n,n,∞,1); => undef (One-sided limit: n≥0) - parisse - 05-22-2018 06:36 PM RE: Do you agree: limit(ABS(x)^n,n,∞,1); => undef (One-sided limit: n≥0) - parisse - 05-23-2018, 04:56 PM RE: Do you agree: limit(ABS(x)^n,n,∞,1); => undef (One-sided limit: n≥0) - DrD - 05-24-2018, 09:59 AM

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