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) \(\frac { 8 } { 9 }\)

Understand the principles of active and passive transport, including primary and secondary active transport, and their role in nutrient uptake.

Appreciate the clinical implications of transport mechanisms and their relevance to human health, including the effects of mutations.

Analyze and apply knowledge of cellular transport mechanisms to hypothetical scenarios involving drug treatment or genetic mutations.

Understand the concept of acceptance in contract law, including the necessity of assent by the offeree to the proposal by the offeror.

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A substance applied to the body to prevent or mask body odor due to bacterial breakdown of perspiration.