Consider the function f (2) = (2z+ 1) (z² – 1). - (a) What can be said about the continuity and differentiability of f at z = –1+ 2i? Continuous but not differentiable Continous and differentiable Differentiable but not continuous Neither continuous nor differentiable.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 51E
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Consider the function
f (z) = (2z+1) (z² – 1).
(a) What can be said about the
continuity and differentiability of f
at z = –1 + 2i?
-
Continuous but not differentiable
Continous and differentiable
Differentiable but not continuous
Neither continuous nor differentiable.
Transcribed Image Text:Consider the function f (z) = (2z+1) (z² – 1). (a) What can be said about the continuity and differentiability of f at z = –1 + 2i? - Continuous but not differentiable Continous and differentiable Differentiable but not continuous Neither continuous nor differentiable.
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