MAT-261 Lecture Notes - Lecture 21: Ratio Test, Joule
Document Summary
Provide a generalization to each of the key terms listed in this section. The power series are series that are in the following form: When it comes to power series, it can look like a polynomial, but it"s actually in nite; in general situations, a series can be in the following form: Addressing cn (x a)n = c0 + c1 (x a) + c2 (x a)2 + c3 (x a)3 + : that can be read in one the following ways: It would be best if you might want to decide for which estimations of x a speci c arrangement unites; the ratio test is regularly a suitable place to begin for power series. When it comes to the ratio test, is would be best if you let following be a series: X an there are three di erent ways the ratio test can go; when one is absolutely convergent, divergent, or even inconclusive.
