Continuous function

Calculus Level 2

Let \[f(x) = \left\{ \begin{array}{ll} \frac{\ln(a+bx)}{x} & \mbox{if } x \neq 0 \\ 2 & \mbox{if } x = 0. \end{array} \right.\] If \(f(x)\) is continuous at \(x=0,\) what is the value of \(a+b?\)

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