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Real Analysis: Short Questions and MCQs

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uences, whose sum is convergent. - Prove that $\left\{\frac{1}{n+1} \right\}$ is decreasing sequence. - Is the sequence $\left\{\frac{n+2}{n+1} \right\}$ is increasing or decre... em is not interval. * (A) $(1,2)$ * (B) $\left(\frac{1}{2},\frac{1}{3} \right)$ * (C) $[3. \... ed.$</collapse> </panel> <panel> 5. A sequence $\left\{\dfrac{1}{n} \right\}$ is * (A) bounded.

Topology: Short Questions and MCQs

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n in $\tau$? - Write the closure of the set $S=\left\{1+\frac{1}{n}: n \in \mathbb{N} \right\}$ in usu