I have been self studying Whittaker and Watson when I came across this problem
I am unsure what the first equation is supposed to be. Is it
$$\frac{e^{2 \pi i \nu x}}{1 - e^{2 \pi i x}} = \frac{1}{2 \pi i} \lim_{n\to\infty} \sum_{k=-n}^{n} \frac{e^{2k \nu\pi i}}{k - x}$$
or
$$\frac{e \cdot {2 \pi i \nu x}}{1 - e^{2 \pi i x}} = \frac{1}{2 \pi i} \lim_{n\to\infty} \sum_{k=-n}^{n} \frac{e^{2k \nu\pi i}}{k - x}$$
I would believe that the first equation makes more sense. Would this be a typographical error? Were such misprints common one hundred and twenty years ago?
