Thursday, February 2, 2017

trigonometry - How to Find the Minimum Value for $frac{tan x}{x}$ (piecewise defined)?

$$F (x) = \begin{cases} \displaystyle \frac{\tan(x)}{x} & x \not=0 \\ 1 & x=0 \end{cases} $$



How do I prove that there is a local minimum at $x=0$?

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analysis - Injection, making bijection

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