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What should be the value of a,b and c such that the function defined below is continuous at x=0 ?

                   
                            $f\left ( x \right )=\begin{Bmatrix} \left ( 1+ax \right )^{\frac{1}{x}} & x<0 & \\ b & x=0& \\ \frac{(x+c)^{\frac{1}{3}}-1}{x}                     &x>0 & \end{Bmatrix}$

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$a= $any value

$b=1$

$c$=$x^{3}+2x+3x^{2}+1$

Then x will be continuous at x=1

But continuous in x=0 not possible here

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