Math Chapter Wise question with answer

Q01 Let E and F are Banach spaces. T∈B(E,F) becomes an open map When it is: English · OPSC PGT 2017 Q02 The value of ∑ n k n k k=0 3 C is English · Bihar (TRE 2.0)-2023 Q03 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 Q04 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 Q05 Define f(x) = 1 x for x > 0. Then f is uniformly continuous English · Bihar (TRE 1.0) -2023 Q06 The sequence 2 2n 1 converges to English · DSE TGT 2022