Math Chapter Wise question with answer

Q01 Limiting value of the sequence {Sn}, where n 1 Sn = 1+ n English · DSE TGT 2022 Q02 →∞ 2 2 2 2 3 n 1 + 2 + 3 +....+ n lim n is equal to English · UP TGT 2021 Q03 Value of →∞ n 1 1 1 lim + +........+ n +1 n + 2 n + n is - English · UP Higher Asst. Prof. 2021 UKPSC Lecturer (Mains) 2020 UP TGT 2009 UP PCS (Pre) 2006 Q04 If f(x)= () →∞ n limf x, Where () () ≤ n f x = nx 1 – x,0 × < 1, then f(x) is equal to English · UPPSC GDC 2021 Q05 The sum of the series →∞ n 1 1 1 1 lim + + +........+ n n +1 n + 2 4n is equal to – English · UP PGT 2021 Q06 The value of () →∞ ∑ n-1 n 2 2 r=0 1 lim n – r is English · UPPSC GIC 2021 UPPSC Ashram Paddhati 2021 UP PGT 2013 UPPCS (Pre) 2003, 2000