weakness in limit

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Martin R

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Feb 5, 2019, 4:04:04 PM2/5/19
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 AM2/17/19
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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