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Prove whether or not the series converges a) sum of ( 6n2 + 89n +73)/(n4 -...

Prove whether or not the series converges

a) sum of ( 6n2 + 89n +73)/(n4 - 213n) from 1 to infinity

b) sum of 1/(n3 +2) from 0 to infinity

c) sum of n1/n from 1 to infinity

d) sum of (-1)n /ln(n) from 2 to infinity (why we start with 2 instead of 1?)

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