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Describe the Behavior of the Function Below as X Approaches f(x)=x3sinxf ( x ) = \frac { | x | } { 3 } \sin x

Question 7

Multiple Choice

Describe the behavior of the function below as x approaches zero.
f(x) =x3sinxf ( x ) = \frac { | x | } { 3 } \sin x


A) f \rightarrow\infty as x \rightarrow 0.
B) f \rightarrow –1 as x \rightarrow 0.
C) f \rightarrow 1 as x \rightarrow 0.
D) f \rightarrow + \infty as x \rightarrow 0.
E) f \rightarrow 0 as x \rightarrow 0.

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