Teaching MPPSC Assistant Professor Mock Test Series 2025 Mathematical Science Complex Analysis Taylor Series, Laurent Series
Which of the following is the Taylor's series expansion of f(z) = \(\frac{z-1}{z+1}\) about z = 0
1
f(z) = 1 - \(\sum_{n=0}^{\infty}(-1)^nz^n\)
2
f(z) = 2\(\sum_{n=0}^{\infty}(-1)^nz^n\)
3
f(z) = 1 - 2\(\sum_{n=0}^{\infty}(-1)^nz^n\)
4
f(z) = 1 + \(\sum_{n=0}^{\infty}(-1)^nz^n\)