Teaching Haryana (HPSC) Assistant Professor Mock Test 2025 Mathematical Science Complex Analysis Power Series
Let R denote the radius of convergence of power series \(\rm \displaystyle \sum_{k=1}^{\infty} k! x^{4k}\). Then
1
R > 0 and the series is convergent on [- R, R]
2
R > 0 and the series converges at x = -R but does not converges at x = R
3
R > 0 and the series does not converge outside (-R, R)
4
R = 0
5
Question Not Attempted