1. Prove or disprove the following with valid arguments: (i) nie 0(0) (ii) 2n22" + alegin) (n22"). (iii) n1001+nlogin) e [n 1.001). (iv) 10n2+ 9 = 0[n). (v) n-log(n) = (nm). (vi) n32" + 6n23" = 0 [n32")