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if z=i^i^i,where i=(-1)^0.5,then |z| is equal toa)1b)e^(-pi*/2)c)e^(-pi)d)e^(pi)
NB: ln i= i*pi/2z=i^i^iln z=( i^i)*ln iln z=(i^i)*i*pi/2ln z= pi/2*i^(i+1)ln(ln z) = ln(pi/2) + (i+1)*ln iln(ln z) = ln(pi/2) + (i+1)*i*pi/2ln(ln z) = ln(pi/2) - pi/2 + i*pi/2ln(ln z) = ln(pi/2*e^(-pi/2)*e^(i*pi/2))ln z= pi/2*e^(-pi/2)*e^(i*pi/2)ln z = pi/2*e^(-pi/2)*iln |z| + i*arg(z) = pi/2*e^(-pi/2)*iComparing real and imaginary parts,ln |z| = 0|z| = 1
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