Problem 16.6. Study the convergence of the following series: (1) too n=1 (-1)nn5. too (8) 2 too en2 1 =1 (n+1)!' n=no 10n . (9) En i sin' n4.2 + sin(ne )n3 -1 E too n=1 10n . no.1+cos(n2)n6+2 too 2n+2 too (-1)n 3 (10) En=1 sin nncos(n) n=1 103n . too 67 4n 15n n=1 7n . n 2 too ( V7 ) ' too =] sins n2-1 (11) Lin=1 (2n+3)!' n3.1+4/ en en2 (7) En=1 (n+1)!' (12) En=1 (6n+1)