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- MTH321: Real Analysis I (Spring 2023)
- om Chapter 02** - A convergent sequence of real number has one and only one limit (i.e. limit of the seq... }$ also converges to $s$. - For each irrational number $x$, there exists a sequence $\left\{ {{r}_{n}} \... _{n}}}$ is convergent if and only if for any real number $\varepsilon >0$, there exists a positive integer... r all $n$. Also suppose that for a fixed positive number $\lambda $ and positive integer $k$, $a_n<\lambda