Let q be the function defined on the interval (-1, +o) by g(x)=\left\{\begin{array}{cl} \frac{\ln (1+x)}{x}, & \text { if } x \neq 0 \\ 1, & \text { if }

x=0 \end{array}\right. Is the function g differentiable at zero? If yes, find the value of g (0). Otherwise, justify your reasoning.