For example, if I needed a function that satisfied both the equations $\lim\limits_{x \to ∞}f'(x)=0$ and $\lim\limits_{x \to ∞}{f(x)}=∞$, would it be possible to reverse engineer potential options, or would I have to repeatedly check functions against the two equations until I trialled-and-errored my way into various solutions?
2026-03-17 08:30:36.1773736236
Is there a way to analytically determine a list of possible functions given a set of properties, or must each option be evaluated individually?
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