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Question Number 135572 by learner001 last updated on 14/Mar/21

does the sequence {a_n } defined by, a_n = { ((0, if n is odd)),(((1/n), if n is even)) :}   converge.

$${does}\:{the}\:{sequence}\:\left\{{a}_{{n}} \right\}\:{defined}\:{by},\:{a}_{{n}} =\begin{cases}{\mathrm{0},\:{if}\:{n}\:{is}\:{odd}}\\{\frac{\mathrm{1}}{{n}},\:{if}\:{n}\:{is}\:{even}}\end{cases}\:\:\:{converge}. \\ $$

Answered by dhgt last updated on 05/May/21

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