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# Any discrete metric space is

 A) not complete B) complete C) finite D) none of these

 B) complete

Any discrete metric space is complete.

Part of solved Real Analysis questions and answers : >> Elementary Mathematics >> Real Analysis

Similar Questions
1). Any subspace of a complete metric space is
 A). complete B). closed C). need not be complete D). none of these
2). Any subset A of a complete metric space is complete if and only if
 A). A is closed B). A is open C). A is finite D). A is countable
3). A complete metric space is of
 A). first category B). second category C). both (A) and (B) D). none of these
4). R is of
 A). second category B). first category C). third category D). none of these
5). Any discrete metricspace is
 A). first category B). second category C). third category D). none of these

6). Any discrete metric space having more than one point is
 A). connected B). finite C). null set D). disconnected
8). Let M be a subspace of R where $$M= [1,2]\cup [3,4]$$ then $$[1,2]$$ is
 A). $$\left( 0,\frac{1}{2} \right]$$ is not Open in [0, 2] B). $$\left( 0,\frac{1}{2} \right]$$ is open in [0, 2] C). $$\left( 0,\frac{1}{2} \right]$$ is closed in [0, 2] D). None of these