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Real Analysis: Short Questions and MCQs

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n $n+1\to\infty$ too.</collapse> </panel><panel> 10. Every convergent sequence has ................. ... (D) none of these \\ <btn type="link" collapse="210">See Answer</btn><collapse id="210" collapsed="true">(C): Every convergent sequence has unique limit.... rnating series test. </collapse> </panel><panel> 10. An series $\sum a_n$ is said to be absolutely co

Topology: Short Questions and MCQs

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s $\mathbb{N}$ open in $\tau$? * Is $A=\{\pm 100,\pm 101, \pm 102, ... \}$ open in $\tau$? * Is $E=\{0,\pm 2,\pm 4,...\}$ open in $\tau$? * Is set ... {1,2,3,...,99\}$ closed in $\tau$? * Is $C=\{10^{10}+n : n \in \mathbb{Z} \}$ open in $\tau$? -