I don't know how to use mean value theorem to show that e^x >= 1+x+ 1/2 x^2 for x>0 I hope someone can give me some advises. Really thanks.
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You don't really need the mean value theorem here (though you do need basic knowledge of Taylor Series), because it can be shown that .
I know it can use Taylor theorem . But I want to use another way to do it. So I am thinking whether mean value theorem can do it or not. And want to try it
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