Let an=1+frac12+cdots+frac1n and bn=n^2/2^n for all ninN. Then

(B) an is NOT a Cauchy sequence but bn is a Cauchy sequence

Q1Section A (Section A)1 of 60

Cauchy property of two sequences

Let $a_n=1+\frac12+\cdots+\frac1n$ and $b_n=\frac{n^2}{2^n}$ for all $n\in\mathbb{N}$ . Then

Pick an option to check your answer.

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