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Find a Value of C That Makes the Function Continuous f(x)={(sinx)x,x0c,x=0;x=0f ( 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) ={(sinx) x,x0c,x=0;x=0f ( 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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