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Convergence Calculator for Infinite Series & Power Series

version 1.1.8 (39.7 KB) by David Cazenave
This script finds the convergence, sum, partial sum graph, radius and interval of convergence of infinite series, including power series.

31 Downloads

Updated 21 Aug 2019

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This script determines the convergence or divergence of infinite series, calculates a sum, provides a partial sum graph, and calculates radius and interval of convergence of power series. The tests included are: Divergence Test, Integral Test, Comparison Test, Limit Comparison Test, Ratio Test, Root Test, Alternating Series Test, Absolute Convergence Test, p - Series Test, Geometric Series Test, Raabe's Test, and Power Series Test. The Power Series Test uses both the Ratio and Root tests to calculate the radius and interval of convergence.

Cite As

David Cazenave (2019). Convergence Calculator for Infinite Series & Power Series (https://www.mathworks.com/matlabcentral/fileexchange/72141-convergence-calculator-for-infinite-series-power-series), MATLAB Central File Exchange. Retrieved .

Comments and Ratings (1)

Updates

1.1.8

Improved robustness of the Power Series Test.

1.1.7

Improved robustness and speed.

1.1.6

Fixed error with the Power Series Test.

1.1.5

Corrected Power Series Test description.

1.1.4

Corrected Absolute Convergence Test with the Integral Test description
and expanded trigonometric capability of the Power Series Test.

1.1.3

Corrected error with Absolute Convergence Test sums
and their partial sum graphs, and expanded capability.

1.1.2

Corrected comments description.

1.1.1

Modified script summary and description.

1.1.0

Changed an elseif to an else.

1.0.9

Corrected comments description
and improved robustness.

1.0.8

Updated MATLAB Release Compatibility.

1.0.7

Deleted some display statements
and added a comments description.

1.0.6

Corrected display statement.

1.0.5

Resubmission.

1.0.4

Improved robustness.

1.0.3

Modified screenshot again.

1.0.2

Modified screenshot.

1.0.1

Changed title and added screenshot.

MATLAB Release Compatibility
Created with R2019a
Compatible with R2013b to any release
Platform Compatibility
Windows macOS Linux