Evaluate ∑n=0∞(eπ)n\sum_{n=0}^{\infty} (\frac{e}{\pi})^n∑n=0∞(πe)n.
ππ−e\frac{\pi}{\pi-e}π−eπ
eπ−e\frac{e}{\pi-e}π−ee
πe\frac{\pi}{e}eπ
Diverges