How would you solve this question?
$$\lim_{n \to \infty} \inf_{x \in \mathbb R} (e^x-nx)$$
I found it in a GRE exam but I'm not sure how to solve it.
2026-02-24 13:45:57.1771940757
GRE question $\lim_{n \to \infty} \inf_{x \in \mathbb R} (e^x-nx)$
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$\lim_{n\to\infty}\inf_{x\in\mathbb R}\left(e^x-nx\right) \leq \lim_{n\to\infty}\left(e^1-n\right)=-\infty$