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

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.
- $$f ( x ) = \left\{ \begin{array} { c l } \frac { 4 x - 2 \sin 2 x } { 3 x ^ { 3 } } , & x \neq 0 \\c , & x = 0\end{array} ; x = 0 \right.$$

• A) 4
• B) 0
• C) \(\frac { 4 } { 9 }\)
• D) \(\frac { 8 } { 9 }\)

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