Math Chapter Wise question with answer

Q01 Let {an} and {bn} be sequences of real numbers defined as a1 = 1 and for n ≥ 1, () − − − n n n+1 n n+1 n n n 2a a a... English · Haryana PGT 2018 Q02 The given series is: 1 1 1 1 1 1 2 3 4 5 6 − + − + − + − − − − − + − + − + − − − − − + − + − + − − − − − + − + − +... English · UK SSSC LT 2020 Q03 Closed-graph theorem is used to given a proof of: English · OPSC PGT 2017 Q04 The value of ∑ n k n k k=0 3 C is English · Bihar (TRE 2.0)-2023 Q05 Let () [ ] ∈ ∞ 2 2 nx gn x =,x 0, 1+ n x Which of the following is true as n → → → ∞ ∞ ∞? English · Bihar (TRE 1.0) -2023 Q06 If { xn } n is a convergent sequence in R and {yn } n is a bounded sequence in R, then we can conclude that English · Bihar (TRE 1.0) -2023