\(\\\normalsize\hspace{20px} e^x={\large\displaystyle \sum_{n=0}^{\infty}\frac{x^n}{n!}}=1+x+{\large\frac{x^2}{2!}}+{\large\frac{x^3}{3!}}+{\large\frac{x^4}{4!}}+\cdots\\\hspace{20px} e^x=10^{x\cdot \log e}\hspace{20px}\frac{d}{dx}e^x=\int e^xdx=e^x\\\\\)
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