1 4. Let f(z)=: Show that J(z))dz = 0 , where Cis a simple closed contour not passing throughout origin. But, J is not analytic at the point =0. Does it contradict with Morera Theorem? Explain it.

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.6: The Three-dimensional Coordinate System
Problem 41E: Does the sphere x2+y2+z2=100 have symmetry with respect to the a x-axis? b xy-plane?
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solve the question 4 in the picture

4. Let f(z)=,
2:Show that J(z)dz = 0, where Cis a simple closed contour not passing
throughout origin. But, / is not analytic at the point
z =0
Does it contradict with Morera Theorem?
Explain it.
Transcribed Image Text:4. Let f(z)=, 2:Show that J(z)dz = 0, where Cis a simple closed contour not passing throughout origin. But, / is not analytic at the point z =0 Does it contradict with Morera Theorem? Explain it.
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