Purchase Solution

Convergence Tests for Series : Comparison test, limit comparison test, integral test, and nth term test

Not what you're looking for?

Ask Custom Question

Use only the comparison test, limit comparison test, integral test, and nth term test to test for convergence or divergence

infinite series(n=2 to infinity) sqrt(25n+4/n^3-n)

infinite series (n=2, infinity) ln(n)/n^3

infinite series(n=1, infinity) (n*arctan(2n))/(2n-1)

*=multiply

Purchase this Solution
Solution Summary

Convergence tests for series are investigated. The solution is detailed and well presented.

Purchase this Solution
Free BrainMass Quizzes
Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

Probability Quiz

Some questions on probability

Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

View More Free Quizzes
Related BrainMass Solutions

  • Convergence Tests

    78143 Convergence Tests Investigated Using one of the tests for convergence (comparison, limit, integral, nth term, etc.), show whether the following series converges or diverges: ∞ ∑ (e^n)/ 1 + (e^2n) n=1 Answer: converge We use the comparison

  • Explanation to Convergence Tests

    78130 Explanation to Convergence Tests Using one of the tests for convergence (comparison, limit, integral, nth term, etc.), show whether the following series converges or diverges: infinity E (1 + cos n)/ n^2 n=1 By comparison test, since (1

  • Convergence Tests

    78149 Convergence Tests to Infinity Using one of the tests for convergence (ratio, root, comparison, limit, integral, nth term, etc.), show whether the following series converges or diverges: ∞ ∑ n(2^n)(n + 1)! / (3^n)n!

  • Comparison and Integral Tests

    585717 Comparison and Integral Tests 1. Apply the Basic Comparison Test (BCT) and Limit Comparison Test (LCT). Find an appropriate Comparison series to determine convergence or divergence. See attached file for formulas. 2.

  • Convergent or divergent series

    Use the integral test to determine if the series converges or diverges Use the comparison test test to determine if the series converges or diverges Use the limit comparison test with the dominant term concept to determine if the series

  • Infinite series

    197894 Infinite Series Calculus Please help me understand these problems. State the Comparison Test, the Limit Comparison Test and the Integral Test for the convergence of infinite series. Please see the attachment. (1) converges.

  • convergence or divergence

    And . Hence by Leibnitz's test, oscillates infinitely. (c) Let . Hence and let . We consider as is divergent series, hence by limit comparison test, is divergent. (d) Let . Hence and let .

  • Sequences & series

    x if x>0, test the series for convergance. 7.Using convergence tests (limit comparison test, ratio test, root test) test whether the series is convergent or divergent. The explanations are in the attached file. Sequences and series are evaluated.

  • Taylor Polynomials and Comparison Tests for Convergence (4 Problems)

    39452 Taylor Polynomial and Comparison Tests for Convergence 1. Find the 3rd-degree Taylor polynomial for f(x) = 1/(2+x) at a = 1. 2. Comparison Test let . 3. Comparison Limit let . 4. Comparison Test .

View More Related Solutions