Calculus IV
15.Functions of Several Variables
16.Multiple Integration
17.Vector Analysis
S = contains supplemental resources
Course: Calculus I
Topic: Limits and Continuity
Subtopic: Limits Graphically


The first big topic in calculus is limits. As x gets closer and closer to a number, f(x) gets closer and closer (approaches) a value. This is the concept of a limit. The answer from the limit is the value that f(x) is approaching.

In this lesson we analyze limits graphically. We'll observe the graph of f(x) and see what value the outputs are approaching as the input x gets closer and closer to a given number in an intuitive manner.


By the end of this topic you should know and be prepared to be tested on:


Define: limit, approach (in terms of a limit), D.N.E. = does not exist, one-sided limit

Text Notes

Supplemental Resources (recommended)

Watch MIT Prof. Gilbert Strang's The Big Picture of Calculus.

Why Do We Study Calculus? by Prof. Eric Schechter of Vanderbilt University is a worthy read.

Supplemental Resources (optional)

Video: Calculating Limits Intuitively, Selwyn Hollis's Video Calculus

Lesson: Slopes and Velocities, Dale Hoffman's Contemporary Calculus overviews several applications of calculus for motivational purposes. You are NOT expected to know solve these problems ... yet!