1 difficult limit Q

2011-10-08 5:44 am
lim(n→∞)

(2^n){∛[(-1+√3i)/(2^(3n+1))]+∛[(-1-√3i)/(2^(3n+1))]}

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回答 (2)

2011-10-08 6:20 am
lim(n→∞) ∛[(-1+√3i)/(2^(3n+1))] = 0
lim(n→∞) ∛[(-1-√3i)/(2^(3n+1))] = 0

therefore


lim(n→∞)

(2^n){∛[(-1+√3i)/(2^(3n+1))]+∛[(-1-√3i)/(2^(3n+1))]}

=0




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