Imagine trembling with awe and mystery, glimpsing at Ramanujan's equation tonight as you drift off to sleep.  

An amazing relationship among \(\pi\), \(e\), a continued fraction, and an infinite series:
\[\sqrt{\dfrac{\pi e}{2}}=\dfrac{1}{1+\dfrac{1}{1+\dfrac{2}{1+\dfrac{3}{1+\dfrac{4}{\ddots}}}}}+\left(1+\dfrac{1}{1\cdot3}+\dfrac{1}{1\cdot3\cdot5}+\cdots\right)\]

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