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If f(x) , defined by the following, is continuous at x = 0 , find the value of a, b and c. $f(x)=\left \{\begin{array}{1 1}\large\frac{\sin(a+1)x+\sin x}{x}, & if\;x< 0\\c, & if\;x= 0\\ \large\frac{\sqrt{x+bx^2}-\sqrt x}{bx^{\large\frac{3}{2}}}, & if\;x>0\end{array}\right.$

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