Question

test the convergence of (8^(1/n)-1)​

Answer 1

Answer:

convergence of the given one is right

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Answer 2

Answer:

To test the convergence apply the ratio test which means to find

limn→∞(an+1an). If limit is <1, the series would converge. In the present case this limit is,

=limn→∞8n+1(n+1)!⋅n!8n

=limn→∞8n+1 =0.Hence the series would converge.