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Let z be a complex number and f(z) = Ln(i+z), g(z) = sinh (2z) + 3cosh(iz), h(z) = coth(5z). Which among the following statements is true? O None of these None of them have Maclaurin series Of, g, and h have Maclaurin series f and g have Maclaurin series whereas h does not have Maclaurin series f and h do not have Maclaurin series while g has Maclaurin series

Let z be a complex number and f(z) = Ln(i+z), g(z) = sinh (2z) + 3cosh(iz), h(z) = coth(5z). Which among the following statements is true? O None of these None of them have Maclaurin series Of, g, and h have Maclaurin series f and g have Maclaurin series whereas h does not have Maclaurin series f and h do not have Maclaurin series while g has Maclaurin series

Advanced Engineering Mathematics
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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Let z be a complex number and f(z) = Ln(i + 7), g(z) = sinh(2z) + 3cosh(iz), %3D h(z) = coth(5z). Which among the following statements is true? None of these None of them have Maclaurin series O f, g, andh have Maclaurin series f and g have Maclaurin series whereas h does not have Maclaurin series f and h do not have Maclaurin series while g has Maclaurin series Tet/(2)- C,e the pper half circle -Rm the conterclockwise direction
Transcribed Image Text:Let z be a complex number and f(z) = Ln(i + 7), g(z) = sinh(2z) + 3cosh(iz), %3D h(z) = coth(5z). Which among the following statements is true? None of these None of them have Maclaurin series O f, g, andh have Maclaurin series f and g have Maclaurin series whereas h does not have Maclaurin series f and h do not have Maclaurin series while g has Maclaurin series Tet/(2)- C,e the pper half circle -Rm the conterclockwise direction
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