I am reading an article on q-learning. I don't know what inequality this is, the article says it is well known.
$1- \alpha \leq e^{-\alpha}$
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4Use Taylor series for $\text{exp}$. – Doug Aug 08 '22 at 17:29
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1See also https://math.stackexchange.com/q/504663/42969 – Martin R Aug 08 '22 at 17:33
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both are converging – abcdefu Aug 08 '22 at 17:34
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It's closely related to Bernoulli's inequality. – Cameron Williams Aug 08 '22 at 17:34
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this is certainly true for $ \alpha \in \mathbb{R^+}$ – abcdefu Aug 08 '22 at 17:36
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did the proof writing in a min – abcdefu Aug 08 '22 at 17:37
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@CameronWilliams you're right – abcdefu Aug 08 '22 at 17:38
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@abcdefu This is a duplicate. Close it instead of answer it. – azif00 Aug 08 '22 at 17:39
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@azif00 oh...thanks for telling – abcdefu Aug 08 '22 at 17:39
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Yes, thanks @abcdefu – Starrrrck Aug 08 '22 at 17:54