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A Sequence Is Defined By an=0.9999na _ { n } = 0.9999 ^ { n }

Question 128

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A sequence is defined by an=0.9999na _ { n } = 0.9999 ^ { n } .(a) Calculate a103a _ { 10 ^ { 3 } } and a105a _ { 10 ^ { 5 } } .(b) Determine whether ana _ { n } converges or diverges. If it converges, find the limit.

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