Toronto Math Forum
MAT334--2020S => MAT334--Tests and Quizzes => Quiz 2 => Topic started 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
-
$\lim \limits_{z_{0} \to i}\ f(x) = \lim \limits_{z_{0} \to i}\ |1-z|^2 = |1-i|^2 = 1^2+-(1)^2 = 2$