Let (an) be the sequence with an = (-1)” +212/2. (i) Use the fact that 1/n² → 0 as n → ∞ and Proposition 10.2.2 to show that 1/(2n)² → 0 and 1/(2n − 1)² → 0 as n →∞. (ii) Show that 1 and -1 are limit points of the sequence (an). (iii) Use Proposition 10.2.2 to show that the sequence (an) does not con- verge.

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Q: Evalu

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