let-z-0-0-and-n-N-z-n-1-i-2-z-n-1-1-find-z-n-at-form-of-sum-2-let-W-n-z-n-1-i-2-find-lim-W-n-n-

Question Number 40125 by maxmathsup by imad last updated on 16/Jul/18

l e t z_{0} = 0 a n d \forall n \in N z_{n + 1} = \frac{i}{2} z_{n} + 1

1) f i n d z_{n} a t f o r m o f s u m

2) l e t W_{n} = z_{n} - \frac{1 + i}{2} f i n d l i m ∣ W_{n} ∣ (n \to + \infty)