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prove whether the following series converge absolutely, converge conditionally or diverge give limit a) sum of...

prove whether the following series converge absolutely, converge conditionally or diverge give limit

a) sum of (-5)n /n! from 0 to infinity

b) sum of 1/nn from 0 to infinity

c) sum of (-1)n /(1 + 1/n) from 0 to infinity

d) sum of 1/5n from 0 to infinity

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