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Question: A very strange result

Question:A very strange result

mmcdara 6149 Maple 2015
evalf
October 10 2020
3

Hi,

I do not understand why this simple procedure evaluates so differently depending on the type of its second parameter?

A typo somewhere or a bug?


 

> 

restart:
> 

interface(version)

`Standard Worksheet Interface, Maple 2015.2, Mac OS X, December 21 2015 Build ID 1097895`

 (1)
> 

KL := (a, b) -> (1/4)*(2*ln(a+b)*a^2+4*ln(a+b)*b*a+2*ln(a+b)*b^2-2*ln(b)*b^2-a^2-2*a*b)/a

proc (a, b) options operator, arrow; (1/4)*(2*ln(a+b)*a^2+4*ln(a+b)*b*a+2*ln(a+b)*b^2-2*ln(b)*b^2-a^2-2*a*b)/a end proc

 (2)
> 

evalf(KL(1e-10, 1/2))

-.2

 (3)
> 

evalf(KL(1e-10, 0.5))

-0.2500000000e-10

 (4)
> 

evalf(KL(1e-10, convert(0.5, rational)))

-.2

 (5)
> 

limit(KL(a, 1/2), a=0, left);
limit(KL(a, 1/2), a=0, right)

-(1/2)*ln(2)

  

-(1/2)*ln(2)

 (6)
> 

limit(KL(a, 0.5), a=0, left);
limit(KL(a, 0.5), a=0, right)

Float(-infinity)

  

Float(infinity)

 (7)
> 

 


 

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