Q22

Consider the function $f: \mathbb{R} \rightarrow \mathbb{R}$ defined as follows:

$$f(x)=\left\{\begin{array}{lr} c_{1} e^{x}-c_{2} \log _{\mathrm{e}}\left(\frac{1}{x}\right), & \text { if } x>0 \\ 3 & \text { otherwise } \end{array}\right.$$

where $c_{1}, c_{2} \in \mathbb{R}$. If $f$ is continuous at $x=0$, then $c_{1}+c_{2}=$ $\_\_\_\_$. (answer in integer)