Limits
Description
The limit of a function $f(x)$ as $x\rightarrow x_0$ is the value of the function as the value of $x$ gets closer to $x_0$. The Sage cell below calculates the
(1)\begin{align} \lim_{x\to 2} \frac{2x}{x-3}. \end{align}
Sage Cell
Code
limit(2*x/(x-3),x=2))
Options
Option
Sometimes the limit of a function is undefined because when approaching any certain $x_0$ value from above $x_0$ will result in a different value than when approaching $x_0$ from below. The Sage Code below shows
(2)\begin{align} \lim_{x\to 2^-} \frac{2x}{x-3} \end{align}
and
(3)\begin{align} \lim_{x\to 2^+} \frac{2x}{x-3}. \end{align}
Code
limit(2*x/(x-3),x=3, dir='left')
limit(2*x/(x-3),x=3, dir='right')
Tags
Primary Tags:
Secondary Tags:
Related Cells
Attribute
Permalink:
Author:
Date: 13 Nov 2018 18:05
Submitted by: James A Phillips
