  From the Reissner-Nordstrom metric we obtain the higher-order terms for the
deflection of light around a massive-charged black hole using the
Lindstedt-Poincar\'e method to solve the equation of motion of a photon around
the compact object. The corrections are performed developing the expansion in
terms of $\epsilon=\frac{r_{c}}{b}$ and $\frac{\delta}{b}= \frac{Q^{2}}{6 \pi
\epsilon_{0}Mc^{2} b}$. Additionally, from the perturbation expansion, we
obtain multivariate Pad\'e approximants. We also show how these are a better
fit for the numerical data than the original formal Taylor series.
