cmi-entrance 2012 QA5

cmi-entrance · India · pgmath 5 marks Sequences and series, recurrence and convergence True/false or conceptual reasoning about sequences

Let $K \subset \mathbb { R } ^ { n }$ such that every real valued continuous function on $K$ is bounded. Then $K$ is compact (i.e closed and bounded).

Let $K \subset \mathbb { R } ^ { n }$ such that every real valued continuous function on $K$ is bounded. Then $K$ is compact (i.e closed and bounded).

Paper Questions

QA1 QA10 QA11 QA12 QA13 QA14 QA15 QA2 QA3 QA4 QA5 QA6 QA7 QA8 QA9 QB1 QB10 QB2 QB3 QB4 QB5 QB6 QB7 QB8 QB9