Which of the following conditions implics (imply) the convergence of a sequence fx,} of real numbers? (a) given e>0 there exists an n, en such that for all n 2

Which of the following conditions implics (imply) the convergence of a sequence fx,} of real numbers? (a) Given e>0 there exists an n, EN such that for all n 2 g. a,e (b) Given s>0 there exists an n eN such that for all n20 -*, ke n+) ()Given e>0 there exists an , e N such that for all na r,(r+1) IS.s,l<« (d) Given &>0 there exists an n, eN such that for all m, n with m> n2gl,,-*,