Σ(1/n^2,n,1,∞) is a calculation. That TI-89 evaluates it to π^2/6 makes it good at doing them.
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?
"arithmetic also includes more advanced operations, such as [...] exponentiation, logarithmic functions, and even trigonometric functions, in the same vein as logarithms (prosthaphaeresis)."