Consider the sequence {a_(n)}_(nsubN) with a_(n)=(2n^(2)-5n+1)/(2n^(2)+16). This problem is about using the definition of the convergence of a sequence (with \epsi and n_(0) ) to show that {a_(n)}_(nsubN) converges to the value 1 , by the following steps: (a) Show that |a_(n)-1|=(5n+15)/(2n^(2)+16) (b) Show that EEn_(1)inN such that 5n+15<6n,all n>=n_(1) (c) Show then that EEn_(1)inN such that |a_(n)-1|<(3)/(n), all n>=n_(1) (d) Finally, show that {a_(n)}_(nsubN) converges to 1