\(\class{highlight}{ e^x } = \class{aux}{ \sum\limits_{n=0}^\infty \dfrac{x^n}{n!} = 1 + x + \dfrac{x^2}{2!} + \dfrac{x^3}{3!} + \dfrac{x^4}{4!} + \cdots }\) \(\class{highlight}{ e^x } = \class{main}{ \lim\limits_{n \to \infty} \left( 1 + \dfrac{x}{n} \right) ^n }\)

n = 5