- Find lim Re(2) [Hint: use z = x + iy.] z -1- i - Find lim 2+1+i 22 – 2z + 2

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 22RE
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= f(z) = u+iv is a complex valued function.Now express the following
1. Let, w =
function both Cartesian and Polar form and determine the forms taken by u
and v.
f(2) = ze*.
2. Find the derivative of the following function by using the definition of deriva-
tive of complex valued function.
f(2) = z³ + z + 1.
Re(z)
3. Find lim
[Hint: use z = x + iy.]
2
Z - 1- 2
4. Find lim
z→1+i
2² – 2z + 2
5. Using the theorems regarding limits going to infinity show that,
z2 +1
lim
0.
1/1
182.60%
响 C
Transcribed Image Text:SET D.pdf - Foxit Reader File Home Comment View Form Protect Share Connect Help Extras Tell me what you wa Find SET D.pdf Convert your image files to PDFS Start Bookmarks = f(z) = u+iv is a complex valued function.Now express the following 1. Let, w = function both Cartesian and Polar form and determine the forms taken by u and v. f(2) = ze*. 2. Find the derivative of the following function by using the definition of deriva- tive of complex valued function. f(2) = z³ + z + 1. Re(z) 3. Find lim [Hint: use z = x + iy.] 2 Z - 1- 2 4. Find lim z→1+i 2² – 2z + 2 5. Using the theorems regarding limits going to infinity show that, z2 +1 lim 0. 1/1 182.60% 响 C
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