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Consider the function below. z²+4 z-2i z # 2i f(z) = (3 + 4i z = 2i Is f(z) continuous at z = 2i? If not, write down a definition of f(z) which has the singularity removed. 2z-i Using the definition, find the derivative of function ƒ(z)=- at the point z = -i. z + 2i

Consider the function below. z²+4 z-2i z # 2i f(z) = (3 + 4i z = 2i Is f(z) continuous at z = 2i? If not, write down a definition of f(z) which has the singularity removed. 2z-i Using the definition, find the derivative of function ƒ(z)=- at the point z = -i. z + 2i

Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
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Consider the function below. z²+4 z-2i z #2i f(z) = (3 + 4i z = 2i Is f(z) continuous at z = 2i? If not, write down a definition of f(z) which has the singularity removed. 2z-i Using the definition, find the derivative of function ƒ(z)=- at the point z = -i. z + 2i
Transcribed Image Text:Consider the function below. z²+4 z-2i z #2i f(z) = (3 + 4i z = 2i Is f(z) continuous at z = 2i? If not, write down a definition of f(z) which has the singularity removed. 2z-i Using the definition, find the derivative of function ƒ(z)=- at the point z = -i. z + 2i
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