Can anyone help me please.

1. (a) What is a sequence? Describe (formally and in your own words) [5] what it means for such a sequence to converge to a limit z E R. (b) Compute the first five elements of the sequence {Zn} , where [5] 2n2 Zn = 1 + 3n+ 2n2 (c) Prove the sequences {x} , and {ym} , converge, where [10] 2n 2n Xn = and yn= 1+n 1 + 2n Evaluate lim X and lim yn. (d) Using your answer to part (c), and carefully stating and describing [10] any additional results you use, show that lim zn = 1