Do you agree: limit(ABS(x)^n,n,∞,1); => undef (Onesided limit: n≥0)

05222018, 06:36 PM
Post: #5




RE: Do you agree: limit(ABS(x)^n,n,∞,1); => undef (Onesided 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 sidedlimit 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 (Onesided limit: n≥0)  DrD  05222018, 01:13 PM
RE: Do you agree?  pier4r  05222018, 03:30 PM
RE: Do you agree: limit(ABS(x)^n,n,∞,1); => undef (Onesided limit: n≥0)  DrD  05222018, 03:38 PM
RE: Do you agree: limit(ABS(x)^n,n,∞,1); => undef (Onesided limit: n≥0)  Arno K  05222018, 05:42 PM
RE: Do you agree: limit(ABS(x)^n,n,∞,1); => undef (Onesided limit: n≥0)  DrD  05232018, 12:06 PM
RE: Do you agree: limit(ABS(x)^n,n,∞,1); => undef (Onesided limit: n≥0)  parisse  05222018 06:36 PM
RE: Do you agree: limit(ABS(x)^n,n,∞,1); => undef (Onesided limit: n≥0)  parisse  05232018, 04:56 PM
RE: Do you agree: limit(ABS(x)^n,n,∞,1); => undef (Onesided limit: n≥0)  DrD  05242018, 09:59 AM

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