Infinite limits challenge

You might need: Calculator

Let

f (x) = \frac{\ln x}{x}

. Use your calculator to fill in the missing values in the table below. Give your answer accurate to the nearest

0.01

$x$ ‍	$f (x)$ ‍
$2$ ‍	$0.35$ ‍
$10$ ‍	Your answer should be an integer, like $6$ ‍ an exact decimal, like $0.75$ ‍ a simplified proper fraction, like $3 / 5$ ‍ a simplified improper fraction, like $7 / 4$ ‍ a mixed number, like $1 3 / 4$ ‍
$100$ ‍	Your answer should be an integer, like $6$ ‍ an exact decimal, like $0.75$ ‍ a simplified proper fraction, like $3 / 5$ ‍ a simplified improper fraction, like $7 / 4$ ‍ a mixed number, like $1 3 / 4$ ‍
$1000$ ‍	Your answer should be an integer, like $6$ ‍ an exact decimal, like $0.75$ ‍ a simplified proper fraction, like $3 / 5$ ‍ a simplified improper fraction, like $7 / 4$ ‍ a mixed number, like $1 3 / 4$ ‍

Now use the values from the table above to find

lim_{x \to \infty} f (x)

Differential Calculus (2017 edition)