Question: code class = asciimath > Suppose that | ( a _ ( n + 1 ) ) / ( a _ ( n ) )

code class="asciimath">Suppose that |(a_(n+1))/(a_(n))|=(n+1)^(p), for all n=1,2,dots where p is a fixed real number. For which values of p is \sum_(n=1)^(\infty ) n!a_(n) guaranteed to converge?
code class = "asciimath" > Suppose that | ( a _ (

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