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Recall the definitions of the asymptotic notations. We will say that f(x) has order of growth x as xx0 (where x0 is either some

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Recall the definitions of the asymptotic notations. We will say that f(x) has "order of growth x as xx0 " (where x0 is either some fixed real number or ) if f(x)=(x) as xx0. 1. Consider the functions f(x)=xsinx and g(x)=x. Is f(x)=(g(x)) as x ? Why or why not? (Hint: As always, you should refer back carefully to the definition of ()

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