Divergent Series Calculus Teacher Resources

In this college level Calculus worksheet, students use the ratio test to determine if a series converges or diverges.  The one page worksheet contains six problems.  Solutions are not provided. 

Students participate in a series of experiments to learn about plate tectonics and the different materials of the Earth. In this plate tectonics lesson plan, students use eggs, water, beakers, paper, and more materials to learn about the...

In this sequences worksheet, students determine whether sequences converge or diverge. They write their complex numbers in polar form and find solutions for given equations. This two-page worksheet contains twenty-five problems. It...

Don't get your classes all shook up about plate movement, instead use a thorough unit that guides learners to an understanding of plate tectonics. The lessons incorporate a study of the types of plate boundaries and their effects on the...

In this math worksheet, students sketch the graphs of the functions 1/x 2 and 1/(x2 − 1) over the interval [2, ∞). They rewrite the series using the Riemann sum.

For this math worksheet, students examine the values of the series and determine how they could be defined as divergent. They also evaluate the Squeeze Theorem.

In this Calculus learning exercise, students assess their understanding of various topics, including the derivatives of trigonometric functions, evaluating integrals, sigma notation, and convergent and divergent series.  The one...

Students play a board game with provided cards which help them realize that limiting factors may restrict an organism in its development and productivity and direct evolutionary pathways.

Students will understand the relationship between limiting factors and evolution. They will be able to hypothesize possible evolutionary pathways for modern day organisms.

Students use a spreadsheet to investigate data. In this algebra lesson, students collect and graph data on a coordinate plane. They explain properties of a linear equation both algebraically and orally.

Young scholars examine the lives of Islamic teens. In this global studies lesson, students explore selected Internet sites to discover the attributes of Islam, the cultural traditions of Islam, and information regarding Middle Eastern...

Learners solve problems using the TI. In this calculus instructional activity, students evaluate functions using sequences. They graph the functions on the TI and make observations.

Students simulate the process of evolution. Using index cards, they copy a drawing. Each subsequent drawing is sent around the room. The results are compared to the original drawing.

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...

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.

This is an excellent resource! It states all of the most common tests for series convergence. Examples are not included.

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.

Here is a summary of convergence tests. They are listed in the order that you should use/try them when testing for convergence or divergence.

Hotmath provides 20 practice problems relating to sequences and series. Each of the practice problems include a step-by-step guide for solving.

Learners exhibit comprehension of advanced mathematical concepts in Pre-Calculus. The online quiz tests the scholars on convergent and divergent series.

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...

Provides a summary of tests for series that includes the test, series, converges, sum of remainder, and diverges for nth Term, Geometric Series, Telescoping Series, p-Series, Alternating Series, Integral, Root, Ratio, Direct Comparison,...

When a series alternates (plus, minus, plus, minus,...) there's a fairly simple way to determine whether it converges or diverges: see if the terms of the series approach 0.

This page gives a brief statement of the Integral Test for convergent or divergent series. This test is also called the Cauchy Integral Test or the Maclaurin Integral Test.