Question 3 a) Determine whether or not the sequence ( " + (1 + i)" (2+i) Zn = n = 1, 2, ..., (1 – 2i)" + 2n converges, and if it converges, then find its limit. b) Prove that each of the following...

 plz do only part a,     In part (a) please tell me what is the dominant term here. and please when you solve the question please try to explain what and why are you doing. it will help me to understand. thanks

0) 1 - (ii) f(z) = z* (Im z > 0) (iii) f(z) = (-1)² (z E C) %3D IIm al 21 and "/>
Extracted text: Question 3 a) Determine whether or not the sequence ( " + (1 + i)" (2+i) Zn = n = 1, 2, ..., (1 – 2i)" + 2n converges, and if it converges, then find its limit. b) Prove that each of the following functions is continuous, stating any rules that you use. 1 (i) f(2) = ez (Re z > 0) 1 - (ii) f(z) = z* (Im z > 0) (iii) f(z) = (-1)² (z E C) %3D IIm al 21 and