Limit comparison test for convergence and divergence, and two examples. скачать в хорошем качестве

Limit comparison test for convergence and divergence, and two examples.

New videos every week! Subscribe to Zak's Lab    / @zakslab   Questions or requests? Post your comments below, and I will respond within 24 hours. We introduce the limit comparison test and apply it to testing convergence of two different series. In each case, we limit compare to a convergent geometric series (those for which the ratio r is less than 1). For each calculation, it's important to think about which way to take the ratio of terms for the two series being compared -- one way leads to algebra trouble, while the other is relatively easy. To prove convergence, it doesn't matter which way you take the ratio, since settling down to a finite number means the reciprocal is also a finite number.