Limits basics

Limits are intuitive, yet elusive. Learn what they are all about and how to find limits of functions from graphs or tables of values. Learn about the difference between one-sided and two-sided limits and how they relate to each other.
4 exercises available

A limit is the value that a function or sequence "approaches" as the input or index approaches some value. In this tutorial, we supply an intuitive understanding of limits.

Find limits by creating a table of values and analyzing the trend.

Investigate the relationship between a two-sided limit at a point and the one-sided limits at that point (spoiler: the two-sided limits exists if and only if the one-sided limits exist and are equal).

Review your understanding of the basics of limits with some challenge problems.