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Question: A few problems with limit: how to fix them?

Question:A few problems with limit: how to fix them?

mmcdara 7002 Maple 2015
integration eval limit integration-by-parts incomplete-question
October 02 2024
1

It seems that Maple needs more help than necessary:

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restart:
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kernelopts(version)

`Maple 2015.2, APPLE UNIVERSAL OSX, Dec 20 2015, Build ID 1097895`

 (1)
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expr:= A+B*limit(f(x), x=+infinity);
eval(expr, limit(f(x), x=+infinity)=1)

A+B*(limit(f(x), x = infinity))

  

A+B

 (2)
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expr:= A+B*limit(2*f(x), x=+infinity);

eval(expr, limit(f(x), x=+infinity)=1);     # Shouldn't this return A+2*B
eval(expr, limit(2*f(x), x=+infinity)=2);   # Can I avoid doing this?

A+B*(limit(2*f(x), x = infinity))

  

A+B*(limit(2*f(x), x = infinity))

  

A+2*B

 (3)
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expr:= A+B*limit(f(x)^2, x=+infinity);

eval(expr, limit(f(x), x=+infinity)=1);     # Shouldn't this return A+B
eval(expr, limit(f(x)^2, x=+infinity)=1);   # Can I avoid doing this?

A+B*(limit(f(x)^2, x = infinity))

  

A+B*(limit(f(x)^2, x = infinity))

  

A+B

 (4)
> 

expr:= A+B*limit(2*f(x)^2, x=+infinity);

eval(expr, limit(f(x)^2, x=+infinity)=1);    # Shouldn't this return A+2*B
eval(expr, limit(2*f(x)^2, x=+infinity)=2);  # Can I avoid doing this?

A+B*(limit(2*f(x)^2, x = infinity))

  

A+B*(limit(2*f(x)^2, x = infinity))

  

A+2*B

 (5)
 

 

Download limits.mw

Why don't the commands labelled "Shouldn't this return.." do the job?

TIA
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