Calculus
Textbooks
Boundless Calculus
Building Blocks of Calculus
Calculus Textbooks Boundless Calculus Building Blocks of Calculus
Calculus Textbooks Boundless Calculus
Calculus Textbooks
Calculus

Section 3

Limits

Book Version 1
By Boundless
Boundless Calculus
Calculus
by Boundless
View the full table of contents
9 concepts
Thumbnail
Tangent and Velocity Problems

Iinstantaneous velocity can be obtained from a position-time curve of a moving object.

Thumbnail
Limit of a Function

The limit of a function is a fundamental concept in calculus and analysis concerning the behavior of a function near a particular input.

Thumbnail
Calculating Limits Using the Limit Laws

Limits of functions can often be determined using simple laws, such as L'Hôpital's rule and squeeze theorem.

Thumbnail
Precise Definition of a Limit

The $(\varepsilon,\delta)$-definition of limit (the "epsilon-delta definition") is a formalization of the notion of limit.

Continuity

A continuous function is a function for which, intuitively, "small" changes in the input result in "small" changes in the output.

Thumbnail
Finding Limits Algebraically

For a real-valued function expressed in terms of other functions, limit values may be computed via algebraic operations.

Thumbnail
Trigonometric Limits

There are several limits of special interest involving trigonometric functions.

Intermediate Value Theorem

For a real-valued continuous function $f$ on the interval $[a,b]$ and a number $u$ between $f(a)$ and $f(b)$, there is a $c \in [a,b]$ such that $f(c)=u$.

Thumbnail
Infinite Limits

Limits involving infinity can be formally defined using a slight variation of the $(\varepsilon, \delta)$-definition.

Subjects
  • Accounting
  • Algebra
  • Art History
  • Biology
  • Business
  • Calculus
  • Chemistry
  • Communications
  • Economics
  • Finance
  • Management
  • Marketing
  • Microbiology
  • Physics
  • Physiology
  • Political Science
  • Psychology
  • Sociology
  • Statistics
  • U.S. History
  • World History
  • Writing

Except where noted, content and user contributions on this site are licensed under CC BY-SA 4.0 with attribution required.