The Limit Comparison Test
If the limit of a[n]/b[n] is zero, and the sum of b[n] converges, then the sum of a[n] also converges . If the limit of a[n]/b[n] is infinite, and the sum of b[n] diverges, then the sum of a[n] also diverges.
The idea of this test is that if the limit of a ratio of sequences is 0, then the denominator grew much faster than the numerator. |
16 нояб. 2022 г. · In this section we will discuss using the Comparison Test and Limit Comparison Tests to determine if an infinite series converges or diverges ... |
In mathematics, the limit comparison test (LCT) is a method of testing for the convergence of an infinite series. Contents. 1 Statement; 2 Proof; 3 Example ... |
VideolarLimit Comparison Test | Calculus II - Lumen Learning courses.lumenlearning.com › calculus2 › chapter
Use the limit comparison test to determine whether the series converges or diverges. If the test does not apply, say so. |
The limit comparison test shows that the original series is divergent. The limit comparison test does not apply because the limit in question does not exist. |
The limit comparison test shows that the original series is divergent. The limit comparison test does not apply because the limit in question does not exist. |
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