Toronto Math Forum

MAT334--2020S => MAT334--Tests and Quizzes => Quiz 2 => Topic started by: Guan Zhaoqing on January 28, 2020, 10:03:13 PM

Title: TUT0301 Quiz2
Post by: Guan Zhaoqing on January 28, 2020, 10:03:13 PM

Question:
              Find the limit of function at the given point, or explain why it does not exist.
              f(z)=|1-z|^2   at z0 = i.

Answer:
             lim z->i f(z) = |1-i|^2 = 1+1 =2

Title: Re: TUT0301 Quiz2
Post by: Jiayue Wu on February 12, 2020, 05:39:51 PM

$\lim \limits_{z_{0} \to i}\ f(x) = \lim \limits_{z_{0} \to i}\ |1-z|^2 = |1-i|^2 = 1^2+-(1)^2 = 2$