Math Chapter Wise question with answer

Q01 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 Q02 The sum of the series →∞ n 1 1 1 1 lim + + +........+ n n +1 n + 2 4n is equal to – English · UP PGT 2021 Q03 Limiting value of the sequence {Sn}, where n 1 Sn = 1+ n English · DSE TGT 2022 Q04 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 Q05 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 Q06 n→∞ ∑ 2n 2 2 r=1 1 r lim = n n + r English · Haryana PGT 2020