Let f(z) = Cg be the upper half eircle |z| = R in the counter direction with R>1, and / = S.F(z)e"dz. Which among the folowing: %3D and R+1 lim I = 0 by Jordan's Lemına the above statement is true O None of these If(2)| < and lim / = 0 by ML-inequality lim / = 0 by Jordan's Lemma O the above statement is true O the above statement is true If(2)| < and lim I = 0 by ML-inequality O the above statement is true

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let f(z) =- Cg be the upper half eircle |z| = Rm the counterclod
with R>1, and / = S f(2)e"dz Which among the following statements is true?
R²+1
lim I = 0 by Jordan's Lemma
O the above statement is true
O None of these
and
lim I = 0 by ML-inequality
lim / = 0 by Jordan's Lemma
O the above statement is true
O the above statement is true
If(2)| < and
lim I = 0 by MIL-inequality
the above statement is true
Transcribed Image Text:Let f(z) =- Cg be the upper half eircle |z| = Rm the counterclod with R>1, and / = S f(2)e"dz Which among the following statements is true? R²+1 lim I = 0 by Jordan's Lemma O the above statement is true O None of these and lim I = 0 by ML-inequality lim / = 0 by Jordan's Lemma O the above statement is true O the above statement is true If(2)| < and lim I = 0 by MIL-inequality the above statement is true
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