Teaching DSSSB TGT Mock Test 2025 Mathematical Science Complex Analysis Power Series

The power series \(\sum_{n=0}^{\infty} 3^{(-n)} (z-1)^{2n}\) converges if 

1
|z| ≤ 3
2
\(|z| < \sqrt3\)
3
\(|z-1| < \sqrt3\)
4
\(|z-1| \le \sqrt3\)
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