{1 point] We will determine whether the series is oonvergent or divergent using the Limit Comparison Test {note that the Comparison Test is difficult...

{1 point] We will determine whether the series is oonvergent or divergent using the Limit Comparison Test {note that the Comparison Test is difficult to apply In this case}.The given series has positive terms, which is a requirement for applying the Limit Comparison Test. First we must find anappropriate series 2 b" for comparison {this series must also have positive terms}. The most reasonable choice is b” = lit-4M5] {choose something of the form UHF for some number p, so that E b” is a p-serles}. Evaluate the limit below - as long as this limit is some tinite value c :5- fl, then either both series 2 an and E b" convergeHe or both series diverge. lim— = ii‘l—tm nFrom what we Know about p-series we conclude that the series E by is convergent {enter "oonvergent' or"dlvergent"}.Finally, by the Limit Comparison Test we oomlude that the series 2 an is convergent {enter 'oonvergent" or "dlvergent"}.