Teaching Haryana (HPSC) Assistant Professor Mock Test 2025 Mathematical Science Complex Analysis Taylor Series, Laurent Series
Let f(z) = (1 - z) \(e^{(z+\frac{z^2}{2})}\) = 1 + \(\sum_{n=1}^{\infty}a_n z^n\). Then which of the following is FALSE?
1
f'(z) = -z2\(e^{(z+\frac{z^2}{2})}\)
2
a1 = a2
3
an ∈ (-∞, 0]
4
\(\sum_{n=3}^{\infty}|a_n|\) < 1
5
Question Not Attempted