## Calculus: Early Transcendentals 8th Edition

(a) The number $e$ is defined as the base of the exponential function such that its slope at the point $(0,1)$ is exactly equal to $1$. (b) $e\approx2.718281828459\ldots$ (c) $$f(x)=e^x.$$
(a) The number $e$ is defined as the base of the exponential function $f(x)=e^x$ such that its slope at the point $(0,1)$ is exactly equal to $1$. (b) The approximate value of $e$ is $2.718281828459\ldots$ (c) The natural exponential function is the one with the basis equal to $e$: $$f(x)=e^x.$$