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

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

Examlex · Accepted Answer

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

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

Definitions:

Find a Value of C That Makes the Function Continuous f(x)={(sin⁡x)x,x≠0c,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.f(x)={(sinx)x,c,​x=0x=0​;x=0

Definitions:

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