Use Res(f(z). Zo) = lim (z-zo)f(z). Res (f(z). Zo) = f(z) = z = = (n = 1)! dz-1 to find the residue at each pole of the given function. (Order the poles from smallest to largest first by real part, then by imaginary part.) 1 (z²-6z+10)² Pole Residue lim (z-zo) fiz), or Res(f(z). Zo) h(zo) g(zo)
Use Res(f(z). Zo) = lim (z-zo)f(z). Res (f(z). Zo) = f(z) = z = = (n = 1)! dz-1 to find the residue at each pole of the given function. (Order the poles from smallest to largest first by real part, then by imaginary part.) 1 (z²-6z+10)² Pole Residue lim (z-zo) fiz), or Res(f(z). Zo) h(zo) g(zo)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 52E
Related questions
Question
![Use
Res(f(z), Zo) = lim (z-zo)f(z). Res (f(z), Zo) =
z-20
f(z) =
to find the residue at each pole of the given function. (Order the poles from smallest to largest first by real part, then by imaginary
part.)
Z=
z =
1
(z²-6z+10)²
Pole
1
lim
(n-1)! 220 dz-12-20) f(z), or Res(f(z), zo) =
Residue
g(zo)
h'(zo)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0567139a-9f93-4ba8-a710-9c19173fc9d7%2F069a3254-7453-4402-b715-7956c3d63b52%2F047j70i_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Use
Res(f(z), Zo) = lim (z-zo)f(z). Res (f(z), Zo) =
z-20
f(z) =
to find the residue at each pole of the given function. (Order the poles from smallest to largest first by real part, then by imaginary
part.)
Z=
z =
1
(z²-6z+10)²
Pole
1
lim
(n-1)! 220 dz-12-20) f(z), or Res(f(z), zo) =
Residue
g(zo)
h'(zo)
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