4. Show that (a) Sc. 1+²² Log(2) dz→0 as €0, where C, is the contour eet, -7+E≤ t ≤ π-E; (b) JCR 0 as R → +∞, where CR is the contour Reit, -+ // ≤ t ≤ π - ; (c) J₁2=R₂5+11dz → 0 as R→ +∞0. Log(2) dz→ 1+2²
4. Show that (a) Sc. 1+²² Log(2) dz→0 as €0, where C, is the contour eet, -7+E≤ t ≤ π-E; (b) JCR 0 as R → +∞, where CR is the contour Reit, -+ // ≤ t ≤ π - ; (c) J₁2=R₂5+11dz → 0 as R→ +∞0. Log(2) dz→ 1+2²
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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parts 'a' to 'c'. thank you!
Transcribed Image Text:4. Show that
(a) Sc. 1+²²
Log()dz →0 as €0, where Ce is the contour eeit, -T+E≤ t ≤ π-E; (b) JCR
0 as R→ +∞o, where CR is the contour Reit, -π + 1/2 ≤ t ≤ π - ; (c) S₁2=R₂+1dz → 0 as
R→ +∞0.
Log(z) dz→
1+2²
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