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Let a function f style=”color:rgb(0,0,0);background-color:transparent;”>be f : R → R such that f(x) = 0 when x ≤ 0 and f(x) = log(x) ∗ sin(x) when x > 0. f is plotted in the figure below.

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Let a function f 

style=”color:rgb(0,0,0);background-color:transparent;”>be f : R → R such that f(x) = 0 when x ≤ 0 and f(x) = log(x) ∗ sin(x) when x > 0. f is plotted in the figure below.

 
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