Let n be a positive integer. Define the function fn(z) by dn dzn Find the value of f(-1 + i). fn (2) = -(2² + 2x + 2)".

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.3: Trigonometric Functions Of Real Numbers
Problem 65E
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You may use the fact that  z^2+2z+1 =( z + 1 + i )(z + 1 - i)  and the extension of the Cauchy integral formula. 
 
Let n be a positive integer. Define the function fn (2) by
dzn (2²
Find the value of f(-1 + i).
fn(z) =
+ 2x + 2)".
Transcribed Image Text:Let n be a positive integer. Define the function fn (2) by dzn (2² Find the value of f(-1 + i). fn(z) = + 2x + 2)".
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