Root test (nth root test) for convergence and two examples. скачать в хорошем качестве

Root test (nth root test) for convergence 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 root test or nth root test for convergence and apply the test to two examples. This test is particularly useful for series which have nth powers in their terms. In one example, we find that the series convergence, and in the other we find that the series diverges. The divergent series is not too subtle, as we can see using the divergence test (or nth term test) that it diverges because the terms aren't even going to zero in the large n limit!