My objective is to grasp how Mathematica computes limits that may require differentiability assumptions on features (for, as an example, L’Hopital or Taylor Sequence).
Think about, as an example, the next restrict:
Restrict[ n * (F[x - 1/Sqrt[n]] + F[x + 1/Sqrt[n]] - 2 F[x]), n -> Infinity]
If F is a easy (or only a C^2) operate, this could converge to F”(x) by Taylor enlargement. Is it attainable to outline assumptions on F[x] as a easy operate, in order that Mathematica would be capable of consider the above restrict?
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