A Sequence Is Defined By $a _ { n } = 0.9999 ^ { n }$

question 128

Essay

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

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Definitions:

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