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weakness in limit
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Martin R
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Feb 5, 2019, 4:04:04 PM
2/5/19
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to FriCAS - computer algebra system
This arises in the computation of an integral:
(51) -> limit(sin(x)+erf(x+sqrt(-1)/2) + erf(x-sqrt(-1)/2), x=0, "right")
(51) "failed"
(52) -> limit(erf(x+sqrt(-1)/2) + erf(x-sqrt(-1)/2), x=0, "right")
(52) 0
Martin
Martin R
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Feb 17, 2019, 10:58:54 AM
2/17/19
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to FriCAS - computer algebra system
this is stranger than I thought at first:
(1) -> limit(sin(x)+erf(x+sqrt(-1)/2) + erf(x-sqrt(-1)/2), x=0)
(1) 0
Type: Union(OrderedCompletion(Expression(Integer)),...)
so, apparently, the limit exists unconditionally, but adding the direction makes FriCAS believe it doesn't!
Puzzled,
Martin
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