Math Chapter Wise question with answer

Q01 If p and q are positive real numbers, then the series p p p q q q 2 3 4.... 1 2 3 + + + + + + + + + + + + is conver... English · Rajasthan TGT 2015 Q02 The series 2 2 3 3 4 4 2 x 3 x 4 x x + + + + 2 3 4............. is convergent, if- English · Rajasthan TGT 2013 UPPCS (PRE) 2002 Q03 The series n U ∑ ∑ of positive terms is convergent on divergent according as n n n 1 U lim 1 U →∞ →∞ + + > > or <1... English · TGT 2011, 2009 Q04 The series x logx + x2 log2x + _ _ _ _ _+ xn log nx + _ _ _ ∞ ∞ ∞ is convergent if – English · UP PCS (Pre) 1994 Q05 The infinite series P 1 n is convergent if P: English · UP PCS (Pre) 2004 Q06 The series∑ p p+α n (n +1) is convergent if and only if English · UP PCS (Pre) 2008