8. Let C be an arc of the circle [z| = R(R > 1) of angle t/3. Show that dz TT | + 3 \R3 - dz And deduce lim R→∞ z³+1
8. Let C be an arc of the circle [z| = R(R > 1) of angle t/3. Show that dz TT | + 3 \R3 - dz And deduce lim R→∞ z³+1
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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Transcribed Image Text:8. Let C be an arc of the circle |z|
R(R > 1) of angle t/3. Show that
dz
TT
+ 1
3
And deduce lim
dz
=D0
-3
z3+1
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