Curated OER
Worksheet 6 - Improper Integrals
In this improper integral worksheet, students determine the convergence or divergence of functions. They explore the sequence in the series. This one-page worksheet contains six multi-step problems.
Curated OER
Worksheet 32 - Sequence
For this sequence worksheet, students explain the definition of a convergent sequence and draw models of sequences. This two-page worksheet contains four multi-step problems.
Curated OER
Infinite Geometric Series
In this geometric series worksheet, students examine a given geometric series to determine if the series converges or divergeas. They evaluate and determine the common ratio of a geometric series. This four-page worksheet contains 28...
Curated OER
Math 16C: Worksheet 11
In this calculus learning exercise, students answer 13 short-answer problems regarding number sequences, limits, convergence, divergence, polynomials and functions.
Curated OER
Determine if Series Converge or Diverge in Five Multi-part Problems
In this series worksheet, students determine if series converge, converges absolutely, or diverge. Students also state what test they used to arrive at their solutions.
Curated OER
Matter and Motion
In this matter and motion worksheet, students solve 4 different problems that relate to determining the matter and motion of a function problem. First, they find the limit of a as n to infinity and then, determine whether each series...
Curated OER
Summary Worksheet: Sequences
In this sequence worksheet, students determine whether the sequence is convergent or divergent. They find the limit of a given sequence, and solve distance problems. Students explore partial sums of an infinite series and use the...
Curated OER
The Integral Test
For this integral test, students determine the limits, give partial sums of infinite series, explore geometric series, and use the Integral Test to determine if a function converges. This two-page worksheet contains six multi-step...
Curated OER
Infinite Series: Convergent or Divergent
In this infinite series worksheet, students use the Integral Test to determine if a function is convergent or divergent. They use the Comparison Test to prove convergence and calculate partial sums. This two-page worksheet contains...
Curated OER
Comparison Test
In this comparison test worksheet, students use the comparison test or the limit comparison test to determine if a series is convergent or divergent. They give examples of a series. This two-page worksheet contains seven multiple...
Curated OER
Sequence Problems
In this sequence activity, students compute the first five terms of a sequence and determine whether each sequence converges or diverges. They determine the limits of given sequences. This two-page activity contains approximately 45...
Curated OER
Understanding Limits
In this understanding limits, students determine the convergence of given sequences. They use properties of limits to evaluate functions. This two-page activity contains examples and explanations, as well as eleven problems.
Curated OER
Divergence and Convergence
In this divergence and convergence activity, students complete a comparison test for improper integrals. This four-page activity contains approximately ten problems.
Curated OER
Introduction to Infinite Series
In this infinite series worksheet, students explore the pattern in a series of numbers. They solve a sequence of partial sums and identify the limit. This two-page worksheet contains explanations, examples and approximately five problems.
Curated OER
Improper Integrals
In this integral instructional activity, students determine the convergence or divergence of a given integral. This two-page instructional activity contains two problems.
Curated OER
Discussion Sheet 10: Improper Integrals
In this improper integral worksheet, students compute improper integrals, they determine finite improper integrals, and find the area of a region bounded by graphs. Students compute the arc length of a curve on the indicated interval. ...
Curated OER
Worksheet 12: Sequences
In this sequences learning exercise, students determine whether sequences converge or diverge. They write their complex numbers in polar form and find solutions for given equations. This two-page learning exercise contains twenty-five...
Curated OER
Infinite Series: Converge or Diverge
In this infinite series worksheet, students determine if a series converges or diverges. Also, they estimate the value of the series. This two-page worksheet contains approximately 45 problems. This is a hand-written worksheet.
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...
Wolfram Research
Wolfram Math World: Integral Test
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.
Math Medics
S.o.s. Math: More on Limit of a Sequence
A detailed lesson explaining the uniqueness of a convergent sequence. Explains what happens when a sequence is bounded. Gives properties of sequences with limits.
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.