Given p>0,the series of#sum_ (n=1)^oo p^n*n^p# will diverge when the values of p is?
Given p>0,the series of#sum_ (n=1)^oo p^n*n^p# will diverge when the values of p is?
Given p>0,the series of
1 Answer
Jun 25, 2018
Explanation:
Since all terms of the series is positive, the series will coverge if and only if it converges absolutely.
Denote
However, this is not complete. The ratio test is inconclusive if the limit equals
which obviously diverges.
Thus, in order for the series to converge,