List of top Engineering Mathematics Questions on Sequence and Series asked in GATE XE

Consider the infinite series
\[ (P): \sum_{n=2}^{\infty} \frac{1}{(n \log n)^{1/n}} {and} (Q): \sum_{n=1}^{\infty} \frac{n^n}{(2n)!}. \] Then which one of the following statements is correct?