Chapman University
ln 2 Series Poster
A nice poster or handout showing the natural logarithm of 2, ln 2, as an alternating series or convergent series. The fractions start out large and gradually get smaller and smaller in both value and size. Shows some of the unique and...
Curated OER
General Convergence Sheet: Convergent and Divergent Series
In this series worksheet, students determine if 16 series are divergent or convergent. Students find the summation of series on a given interval.
Mathematics Archives
Math Archives: Visual Calculus: Comparison Test
Visual Calculus briefly states the comparison test theorem with the proof and exercise solutions as links.
University of Vienna (Austria)
University of Vienna: Sequences Convergent or Divergent?
Given a set of eight sequence formulae, determine whether each is convergent or divergent. After completing the exercises, the site returns a score to judge understanding of such sequences.
Math Medics
S.o.s. Math: Sequences Limits
This lesson discusses the limit of a sequence in mathematics. Compares convergent and divergent sequences and presents numerical and graphical examples.
Other
Seton Hall University: Series and Convergence
This fantastic resource addresses many aspects of series and convergence. Uses interesting and helpful examples. Provides the option to follow links to proofs and answers to exercises. Also discusses Zeno's paradox of Achilles and the...
Mathematics Archives
Math Archives: Visual Calculus: Absolute Convergence
A good site explaining absolute convergence. The site has the definition, theorem and examples.
Wolfram Research
Wolfram Math World: Series
This page gives a great overview of series in mathematics, including a definition of convergence and divergence. Provides links to more information about specific types of series.
Math Medics
S.o.s. Math: Sequences: Special Limits
This lesson discusses important limits of particular sequences that can be very "useful in many branches of science." Includes good proofs.
Math Words
Math Words: Absolute Convergence
This MathWords.com site clearly states how to determine if a series converges absolutely.
McGraw Hill
Glencoe Mathematics: Online Study Tool: Quiz on Convergent and Divergent Series
Learners exhibit comprehension of advanced mathematical concepts in Pre-Calculus. The online quiz tests the scholars on convergent and divergent series.
Math Open Reference
Math Open Reference: Integral Test
A handy reference guide to the integral test. It provides definitions, examples, and an animation that enhances further explanation. Includes links to related topics.
Math2
Math2.org: Series Expansions
A thorough review of calculus series. Links direct the student to the basic properties of series, as well as to explanations and examples of convergence tests in series. The expansions for exponential, logarithmic, and root functions and...
Wolfram Research
Wolfram Math World: Absolute Convergence
This page briefly discusses absolute convergence as it relates to series. Also provides some properties of absolutely convergent series.
Wolfram Research
Wolfram Math World: Conditional Convergence
This page briefly discusses conditional convergence as it pertains to series. Also provides some links to further information about various aspects of series.
Wolfram Research
Wolfram Math World: Convergent Series
This page gives a brief overview of convergence as it pertains to series. Somewhat difficult to understand if you are not already familiar with the topic. The site gives fundamental information pertaining to all series of converent...
Cut the Knot
Cut the Knot!: Example of Convergent Infinite Series
This site explains the sum of a simple convergent series using a geometric illustration.
Wolfram Research
Wolfram Math World: Convergent Sequence
This site from MathWorld explains convergent sequences with links to related information. The information is very brief, but examples and formulas are provided.
Wolfram Research
Wolfram Math World: Convergence Tests
This page provides links to information about tests to determine the convergence or divergence of a series. No information about convergence tests is offered directly at this link.