Discuss the convergence of the series: $1^p + \left(\frac{1}{2}\right…

Question

Discuss the convergence of the series:

$1^p + \left(\frac{1}{2}\right)^p + \left(\frac{1.3}{2.4}\right)^p + \left(\frac{1.3.5}{2.4.6}\right)^p + \dots$

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