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Jan 13, 2019
05:04 AM

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Jan 13, 2019
05:04 AM

Every so often, MAthcad 15 surprises me!

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Jan 13, 2019
05:49 AM

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Jan 13, 2019
05:49 AM

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Jan 13, 2019
05:49 AM

Mathcad 11 / Maple:

Luc

Jan 13, 2019
09:43 AM

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Jan 13, 2019
09:43 AM

Looks like Maple in MC11 ignores the possibility of a being zero. In this case the result of Maple in MC11 is wrong!

Admittedly MC15's answer without this specific "assume" is wrong in the same sense, too 🙂

Jan 13, 2019
03:26 PM

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Jan 13, 2019
03:26 PM

Maybe it's not so wrong...

Note that the taylor-series of exp(a*x) is 1+ a*x+a^2*x^2/2+...

so in (exp(a*x)-1)/a, the 1 is subtracted out by -1,the next term divided by a leaves x, and the following terms all become 0 when a=0.

Luc

Jan 13, 2019
04:06 PM

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Jan 13, 2019
04:06 PM

@LucMeekes wrote:

Maybe it's not so wrong...

Not so, yes, but its still problematic to write a division by "a" without stating that "a" does not equal zero.

I would have expected to see some kind of if-statement as we see it from Mathcad/muPAd/Maple on many other occasions, too.

Jan 13, 2019
04:15 PM

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Jan 13, 2019
04:15 PM

So again we learn that Mathcad and its symbolics by far is not perfect - not even MC11 & Maple 😉