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Find the Constant aa Such That the Function f(x)={4sinxx,x<0a+7x,x0f ( x ) = \left\{ \begin{array} { r r } - 4 \cdot \frac { \sin x } { x } , & x < 0 \\a + 7 x , & x \geq 0\end{array} \right.

question 59

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Find the constant aa such that the function
f(x) ={4sinxx,x<0a+7x,x0f ( x ) = \left\{ \begin{array} { r r } - 4 \cdot \frac { \sin x } { x } , & x < 0 \\a + 7 x , & x \geq 0\end{array} \right. is continuous on the entire real line.

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