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Find a Value of C That Makes the Function Continuous f(x)={4x2sin2x3x3,x0c,x=0;x=0f ( x ) = \left\{ \begin{array} { c l } \frac { 4 x - 2 \sin 2 x } { 3 x ^ { 3 } } , & x \neq 0 \\c , & x = 0\end{array} ; x = 0 \right.

Question 398

Multiple Choice

Find a value of c that makes the function continuous at the given value of x. If it is impossible, state this.
- f(x) ={4x2sin2x3x3,x0c,x=0;x=0f ( x ) = \left\{ \begin{array} { c l } \frac { 4 x - 2 \sin 2 x } { 3 x ^ { 3 } } , & x \neq 0 \\c , & x = 0\end{array} ; x = 0 \right.


A) 4
B) 0
C) 49\frac { 4 } { 9 }
D) 89\frac { 8 } { 9 }

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