Exercise 1.4.4

Question

\begin{enumerate}[label=(\alph*)]
\item How is the number $e$ defined?

\item  What is an approximate value for $e$ ?

\item  What is the natural exponential function?
\end{enumerate}

Khagan Gulusoy · Accepted Answer

\begin{enumerate}[label=(\alph*)]
\item $e$ is an irrational number such that the slope of the tangent line of the function $f(x) =e^{x}$ that passes through the point $(0,1)$ is equal to $1$.

\item  $$e\approx 2.71828.$$

\item  The natural exponential function is defined as follows:
$$
f: \mathbb{R} 	o \mathbb{R}_{+},\quad f(x)=e^{x} .
$$
\end{enumerate}

Exercise 1.4.4

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Exercise 1.4.4

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