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Question: is(EllipticK(1) = infinity)

Question:is(EllipticK(1) = infinity)

C_R 2545 Maple 2022
infinity elliptic-integral
June 06 2022
1

 I came across this question while trying to verify the equality of expressions containing elliptic integrals.

 

That's what Maple returns for EllipticK(1)

EllipticK(1)

Error, (in EllipticK) numeric exception: division by zero

  

However

evalf(EllipticK(1.))

Float(infinity)

 (1)

limit(EllipticK(k), k = 1, left)

infinity

 (2)

indicate infinity.

Float(infinity) = infinity

Float(infinity) = infinity

 (3)

is(Float(infinity) = infinity)

true

 (4)

NULL

Download EllpticK(1).mw

I have no experience with elliptic integrals. Can I assume in this case that infinity is correct?
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