Math Chapter Wise question with answer

Q01 The series x logx + x2 log2x + _ _ _ _ _+ xn log nx + _ _ _ ∞ ∞ ∞ is convergent if – English · UP PCS (Pre) 1994 Q02 The series (()))p 1 n logn ∑ ∑ is: English · UP PCS (Pre) 2000 Q03 The series 1 n 2 n is logn English · UP PCS (Pre) 2003 Q04 The series 1 1 1 + +........ +.......is log2 log3 logn: English · UP PCS (Pre) 2008 Q05 The radius of convergence R of the series n n 0 (n 1)x is– English · SECTION B PGT TIER-I 31.11.2014 Q06 The power series n n 0 2 (1) x 3 converges– English · SECTION B PGT TIER-I 31.11.2014