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(a) Let CR denote the arc of the circle [z] = R from z = R to z = iR. Show that Von dz 23+2+1 TR/2 R3-R-1 Hence, show that (b) Show that lim R-00. 23+2+1 dz 10 = 0. | Log(2) dz ≤2π z2 (x + In (R)). (+)) 1=R By using L'Hôpital's rule, or otherwise, show that Log(z) dz = 0. lim R00-R 22

(a) Let CR denote the arc of the circle [z] = R from z = R to z = iR. Show that Von dz 23+2+1 TR/2 R3-R-1 Hence, show that (b) Show that lim R-00. 23+2+1 dz 10 = 0. | Log(2) dz ≤2π z2 (x + In (R)). (+)) 1=R By using L'Hôpital's rule, or otherwise, show that Log(z) dz = 0. lim R00-R 22

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section: Chapter Questions
Problem 77RE
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(a) Let CR denote the arc of the circle [z] = R from z = R to z = iR. Show that Von dz 23+2+1 TR/2 R3-R-1 Hence, show that (b) Show that lim R-00. 23+2+1 dz 10 = 0. | Log(2) dz ≤2π z2 (x + In (R)). (+)) 1=R By using L'Hôpital's rule, or otherwise, show that Log(z) dz = 0. lim R00-R 22
Transcribed Image Text:(a) Let CR denote the arc of the circle [z] = R from z = R to z = iR. Show that Von dz 23+2+1 TR/2 R3-R-1 Hence, show that (b) Show that lim R-00. 23+2+1 dz 10 = 0. | Log(2) dz ≤2π z2 (x + In (R)). (+)) 1=R By using L'Hôpital's rule, or otherwise, show that Log(z) dz = 0. lim R00-R 22
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