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

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Let z be a complex number and f (z) = Ln(i + z), g(z) = sinh(2z)+3cosh (iz),
h(z) = tanh (5z). Which among the following statements is true?
%3D
O None of them have Maclaurin series
O f and g have Maclaurin series whereas h does not have Maclaurin series
O g and h have Maclaurin series while f does not have Maclaurin series
O None of these
O f, g, andh have Maclaurin series
Transcribed Image Text:Let z be a complex number and f (z) = Ln(i + z), g(z) = sinh(2z)+3cosh (iz), h(z) = tanh (5z). Which among the following statements is true? %3D O None of them have Maclaurin series O f and g have Maclaurin series whereas h does not have Maclaurin series O g and h have Maclaurin series while f does not have Maclaurin series O None of these O f, g, andh have Maclaurin series
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