# What is the limit as x approaches infinity of 1/x?

Sep 26, 2014

${\lim}_{x \to \infty} \left(\frac{1}{x}\right) = \frac{1}{\infty} = 0$

As the denominator of a fraction increases the fractions approaches 0.

Example:

$\frac{1}{2} = 0.5$

$\frac{1}{5} = 0.2$

$\frac{1}{100} = 0.01$

$\frac{1}{100000} = 0.00001$

Think of the size of your individual slice from a pizza pie that you intend to share equally with 3 friends.

Think of your slice if you intend to share with 10 friends.

Think of your slice again if you intend to share with 100 friends.

Your slice size decreases as you increase the number of friends.