Question: 1 . Consider the functions f ( x ) = x sin x and g ( x ) = x . Is f ( x

1. Consider the functions f(x)= x sin x and g(x)= x. Is f(x)=\Theta (g(x)) as x ->\infty ? Why or
why not? (Hint: As always, you should refer back carefully to the definition of \Theta ().)

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