Problem 200 (difficulty: 3/10)

Give examples such that \(\displaystyle a_n-b_n\to 0\) but \(\displaystyle a_n/b_n\not\to1\), and \(\displaystyle a_n /b_n \to 1\) but \(\displaystyle a_n -b_n \not\to0\).

Give me another random problem!

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Request for a concrete problem:I want problem no.

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