Question

Which of the following is a Cauchy sequence ?

Answer 1

Answer:

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Step-by-step explanation:

Cauchy sequences are intimately tied up with convergent sequences. For example, every convergent sequence is Cauchy, because if a n → x a_n\to x an​→x, then ∣ a m − a n ∣ ≤ ∣ a m − x ∣ + ∣ x − a n ∣ , |a_m-a_n|\leq |a_m-x|+|x-a_n|, ∣am​−an​∣≤∣am​−x∣+∣x−an​∣, both of which must go to zero.

Answer 2

Step-by-step explanation:

which of the following is cauchy sequence