Answer
a. the value approached by $(1+\displaystyle \frac{1}{n})^{n}$, as n becomes very large.
b. 2.7182
c. $f(x)=e^{x}$
Work Step by Step
a. see p. 338
The number e is defined as the value approached by
$(1+\displaystyle \frac{1}{n})^{n}$, as n becomes very large.
b. See table below,
for very large values of n,
the value $(1+\displaystyle \frac{1}{n})^{n}$ hase 2.7182 fixed, as the decimals that follow change,
so 2.7182 is e, correct to 4 decimal places
c. The natural exponential function is the exponential function with the base =e
$f(x)=e^{x}$
