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Prove that the sequence 1/2, 1/2, 3/4, 1/4, 7/8, 1/8...... with the general term x_(n)={{:(,1-(1)/(2^((n+1)//2)),"if n is odd"),(,(1)/(2^(pi//2)),"if n is odd"):} has no limit.

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Answer :VERIFY that the sequence `(x_(2n-1)` TENDS to 1 as `N to OO` and the sequence`(x_(2n))` tends to 0 as `n to oo`.


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