Prove: Let $f:R→R$ monotonically increasing, show that the sequences $f(n)$, $f(\frac{1}{n})$ limit exists at infinity.
I'm totally understand the claim but don't know how to write it right.
2026-04-24 18:07:56.1777054076
Prove limit of sequence at infinity
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The sequences $a_n =f(n) $ and $b_n =f\left(\frac{1}{n}\right)$ are monotone, but every monotone sequence of real numbers has a limit finite or not.