Answer to Question #50124 in Complex Analysis for layla

Question #50124

Decide whether these series is convergent or divergent .

1. Sum (n+i sin n ) ^ {1/n}
2 Sum ( n^{in} ) , where n ^ in is taken in the 3π-branch

Hint : If you wish,You can use the fact
lim Zn=0 <--> lim |Zn| = 0
as n approach to infinity

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