1. (a) If｛an｝ is a covergent sequence and limit of an ^2=0, prove that limit of an=0.(adsbygoogle = window.adsbygoogle || []).push({});

(b) If limit of an ^2=L>0 , give an example to show that limit of an =√L may not be true.

2. For any x≧0, show by binomial theorem, that

(1+x)^n ≧〔n(n-1)x^2〕/2 for any positive integer n.

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# Limit of sequence

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