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Curated OER
BC Series 1 - Derivatives
In this function worksheet, students find the derivatives of a function. They graph each function and determine the interval. This three-page worksheet contains 8 problems.
Curated OER
Worksheet 7
In 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.
Curated OER
Worksheet 11
In this math worksheet, students define a function f(x) by the following rule: for any x ∈ R,set. They also define the domain and range for the functions.
Other
Center for Technology and Teacher Education: Exploring Infinite Series
This site is a lesson plan on the convergence of infinite series. This lesson combines algebraic and geometric interpretations of infinite series. Learners calculate partial sums, and prove ideas about convergence of specific infintie...
Texas Instruments
Texas Instruments: Exploring Infinite Series
In this activity, learners learn to identify geometric series. They determine if a sequence converges and also learn to calculate the sum of numbers in a geometric series.
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...
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.
Paul Dawkins
Paul's Online Notes: Calculus Ii: Series and Sequences
The resource examines sequences and infinite series. Topics investigated are power series, convergence, comparison test, integral test, ratio test, and Taylor series. Class notes, definitions, and examples with detailed solutions are...
Varsity Tutors
Varsity Tutors: Hotmath: Sequences and Series
Hotmath provides 20 practice problems relating to sequences and series. Each of the practice problems include a step-by-step guide for solving.
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...
Texas Instruments
Texas Instruments: Ratio Test
This activity will demonstrate the use of the ratio test to discuss the convergence of an infinite series.
Wolfram Research
Wolfram Math World: Sine
MathWorld provides graphs of the sine function, both 2-dimensional and 3-dimensional. Higher level mathematical applications given, including the hyperbolic sine function, representation of the sine function as an infinite sum as well as...
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.
Texas Instruments
Texas Instruments: Integral Test
This activity will demonstrate the use of the integral test to discuss the convergence of an infinite series.
Shodor Education Foundation
Shodor Interactivate: Tortoise and Hare Race
Step through the tortoise and hare race, based on Zeno's paradox, to learn about the multiplication of fractions and about convergence of an infinite sequence of numbers.