Describe and give the geometric representation of the following point set of complex umbers S = {: € C :1< Re[(2+ i)z + 1] < 3}.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter6: More On Rings
Section6.2: Ring Homomorphisms
Problem 6E
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1.2 Describe and give the geometric representation of the following point set of complex
numbers
S = {z € C :1< Re[(2+i)z + 1] < 3}.
1.3 Evaluate the limit lim [(2-1)(3- 2i)+1-3i] and use the definition of the limit (e– 6)
2+2+i"
to verify this limit.
Transcribed Image Text:1.2 Describe and give the geometric representation of the following point set of complex numbers S = {z € C :1< Re[(2+i)z + 1] < 3}. 1.3 Evaluate the limit lim [(2-1)(3- 2i)+1-3i] and use the definition of the limit (e– 6) 2+2+i" to verify this limit.
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