Question: Let f be the function defined by f ( x ) = x s i n x with domain ( 0 , ) . The

Let f be the function defined by f(x)=xsinx with domain (0,). The function f has no absolute minimum and no absolute maximum on its domain. Why does this not contradict the Extreme Value Theorem?
The function f is not continuous on its domain.
Let f be the function defined by f ( x ) = x s i

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