how do i prove that given function is continuous and monotonically increasing? – math.stackexchange.com

$$ f(x) = \begin{cases} \dfrac{e^x-1}{x}, & \text{if $x \neq0$ } \\ 1 & \text{if $x=0$ } \end{cases}$$ how do I prove that the given function is continuous and monotonically increasing? I ...

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