Source: wikibot/integral-test-for-convergence
= Integral test for convergence
{wiki=Integral_test_for_convergence}
The Integral Test for convergence is a method used to determine whether a series converges or diverges by comparing it to an improper integral. It applies specifically to series that consist of positive, decreasing functions. \#\#\# Statement of the Integral Test Let \\( f(x) \\) be a positive, continuous, and decreasing function for \\( x \\geq N \\) (where \\( N \\) is some positive integer).