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

05232018, 12:06 PM
Post: #6




RE: Do you agree: limit(ABS(x)^n,n,∞,1); => undef (Onesided limit: n≥0)
(05222018 05:42 PM)Arno K Wrote: For x>1 the limit is infinity, for x=1 it is 1 and for 0<=x<1 it is zero. With assume(x>1) your limit returns inf, as expected, and, when I do assume (x<1) and additional(x>0), it returns 0, so undef is reasonable. My point: Accepting limit(ABS(x)^n,n,∞,1); => undef; as a reasonable answer, (and Parisse has explained that it IS the result he wants to report here), that, after citing three valid definitions, a result "undefined" could still be termed "reasonable:" (defined ≠ undefined). A result something like one of these would seem to have less weakness than "undef," because limit(ABS(x)^n,n,∞,1) has definite solutions: [[0≤x<1,0], [x=1,1], [x>1,∞]]; or: indeterminate ( could be something like: ind assume(x..?) ) or: parametric ... etc. 

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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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