## Question

###### 1.3.3_ Proposition. Let {an } be a sequence in R and let a Ã¢â€šÂ¬ R -(a) (n 57 a ifand only iffor every Ã¢â€šÂ¬ > 0 there is an N such that lan L a| < Ã¢â€šÂ¬ for all n 2 N.(b) an6 ifand only if (ag ~a) = 0.

1.3.3_ Proposition. Let {an } be a sequence in R and let a Ã¢â€šÂ¬ R - (a) (n 57 a ifand only iffor every Ã¢â€šÂ¬ > 0 there is an N such that lan L a| < Ã¢â€šÂ¬ for all n 2 N. (b) an 6 ifand only if (ag ~a) = 0.

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