Question $3$

$8$ pts

In Exploration $3\mathrm{.}1\mathrm{.}1$ you discovered an example of the number e appearing in mathematics. Select the correct example discovered in this exploration.

The area under the curve of $y=\frac{1}{x}$ is equal to $1$ from $1,e.$

$\underset{x}{lim}(1-\frac{1}{x}{)}^x=e$

The half$-$life of Carbon$-14$ is e for material that originated in $1720,$ when Leonard Euler discovered the special number, $e.$

The $x-$value for $y=\frac{1}{x}$ when $y=1$ is $x=e.$