Determine if the statement is true or false.

The constant $e$ is called Euler constant.

The value of e is approximately $2\mathrm{.}718281828$dots

The decimals of e terminate at the $100$ th million place.

The domain of the function $f(x)=e^x$ is $[0,).$

The range of the function $f(x)=e^x$ is $[0,).$

e is an irrational number.

$1$

$2$

$3$

$4$

$5$