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1. That’s not a calculation. It’s a special case you either need to know or have to be clever to compute. A calculation might be, say, compute zeta(2). But I don’t really want to argue about semantics.

2. This can evaluate this correctly on the (slightly later) HP-49G+

So given this new information, will you change your mind or try to find some other silly example?

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Maybe did you mean it is not arithmetic?

Transcendental functions are not arithmetic, but they are also not algebra (in the CAS sense of the word)

According to wikipedia:

"arithmetic also includes more advanced operations, such as [...] exponentiation, logarithmic functions, and even trigonometric functions, in the same vein as logarithms (prosthaphaeresis)."

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