Opened 5 years ago

Last modified 10 months ago

## #20452 new defect

# spurious limit computation

Reported by: | kcrisman | Owned by: | |
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Priority: | major | Milestone: | sage-7.2 |

Component: | calculus | Keywords: | limit |

Cc: | Merged in: | ||

Authors: | Reviewers: | ||

Report Upstream: | Not yet reported upstream; Will do shortly. | Work issues: | |

Branch: | Commit: | ||

Dependencies: | Stopgaps: |

### Description

From this sage-support thread:

sage: assume(x, 'real') sage: limit((x^(1/x)-1)*sqrt(x), x=infinity) +Infinity sage: limit(((1/x)^x-1)/sqrt(x), x=0, dir='+') +Infinity Thanks. In pure Maxima we get: (%i3) limit((x^(1/x)-1)*sqrt(x),x,inf); (%o3) inf (%i4) limit((x^(1/x)-1)*sqrt(x),x,0); (%o4) und (%i5) limit((x^(1/x)-1)*sqrt(x),x,0,plus); (%o5) 0 (%i6) limit((x^(1/x)-1)*sqrt(x),x,0,minus); (%o6) inf From what I understand, the first of these is wrong, maybe also the last (should it be infinity (complex infinity) instead?). Interestingly, (%i7) domain:complex; (%o7) complex (%i10) limit((x^(1/x)-1)*sqrt(x),x,0,minus); ;;; ;;; Detected access to protected memory, also kwown as 'bus or segmentation fault'. ;;; Jumping to the outermost toplevel prompt <lots of times> Segmentation fault: 11

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