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

question 394

Multiple Choice

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

• A) -1
• B) 0
• C) 1
• D) Impossible

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