Need help with some calculus questions (Root test and an alternating series test)?

i messed up

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1. Apply a root test to The summation of (the nth root(3) -1)^n from n=2 to infinity

2. Apply an alternating series test: The summation of (-1)^n * ln(n)/sqrt(n)


*For the second one i just need to prove that the summation fits the three conditions of the alternating series test so i can say converge or diverge and i'm having trouble prove the second condition (b(n+1) < b(n))
 
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