Math Chapter Wise question with answer

Q01 Let D be a subset of real line. Consider the assertion: “Every infinite sequence in D has a subsequence which conve... English · Bihar (TRE 1.0) -2023 Q02 Every bounded sequence has a cluster point, then this theorem is known as: English · TGT 2011 Q03 Let { { { } } } { { { } } n n a, b be sequences of real number satisfying n n a b ≤ for all n 1, ≥ then– English · JDD-75-PGT TIER II-X-15 28.06.2015 Q04 Sequence 1 1 1 1 1 1,,,,,,..... 2 3 4 5 6 − − − − − − − − − − − − is English · Rajasthan TGT 2011 Q05 Consider following two sequences: I: {an} where n (1) a n − = II: {bn}where (((()))) 2 n b n 1 n = + − = + − = + −... English · UP PCS (Pre) 2009 Q06 The general solution of recurrence relation r r r 1 r 2 a 5a 6a 4,r 2 − − − + = ≥ − + = ≥ − + = ≥ − + = ≥ is: English · DSSSB 23 SEP 2018 (9 AM-11 AM)