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Prove the following test: Let {xn} be a sequence and lim |Xn| ^1/n = L 1. If...

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Advance Math

Prove the following test: Let {xn} be a sequence andlim |Xn| ^1/n = L

1. If L< 1 then {xn} is convergent to zero

2. If L> 1 then {xn} is divergent

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