Z-1 Let f(z) = 23C with R>2, and I = If(z)| ≤ be the upper half circle |z| = R in the counterclockwise direction f(z)dz. Which among the following statements is true? R-1 2R³ +3 and lim I = 0 by Jordan's Lemma R-00 IF(2) S the above statement is true 2R+ and lim / -0 by ML-mequality Ris If(z)| ≤ R+1 2R³-3 lim / 0 by ML-inequality R-s (2)1 the above statement is true lim A and K+1 2R³-3 and by Jordan's Lemma

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 39RE
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google.com/forms/d/e/1FAlpQLSdkCu0XNvRdvqKOdQwlNON1kyV-9clqTVBs1N6s2K3T-HHIUg/formRespo
z-1
Let f(z) = , CR be the upper half circle |z| = R in the counterclockwise direction
223+3'
with R>2, and I =
Scaf(z)dz. Which among the following statements is true?
R-1
IS(2)| <
and
2R3+3
If (z)| <
R+1
and
2R3-3
lim I = 0 by Jordan's Lemma
lim 1 = 0 by ML-inequality
the above statement is true
the above statement is true
R1
and
2R 3
and
lim 1=0 by MI-mequality
lim 0 by Jordan's Lemma
25°C Partly sunny
Transcribed Image Text:mination google.com/forms/d/e/1FAlpQLSdkCu0XNvRdvqKOdQwlNON1kyV-9clqTVBs1N6s2K3T-HHIUg/formRespo z-1 Let f(z) = , CR be the upper half circle |z| = R in the counterclockwise direction 223+3' with R>2, and I = Scaf(z)dz. Which among the following statements is true? R-1 IS(2)| < and 2R3+3 If (z)| < R+1 and 2R3-3 lim I = 0 by Jordan's Lemma lim 1 = 0 by ML-inequality the above statement is true the above statement is true R1 and 2R 3 and lim 1=0 by MI-mequality lim 0 by Jordan's Lemma 25°C Partly sunny
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