For which value of xxx does the infinite series ∑n=0∞(x−2)n\sum_{n=0}^{\infty} (x-2)^n∑n=0∞(x−2)n converge?
1<x<31 < x < 31<x<3
0<x<20 < x < 20<x<2
2<x<42 < x < 42<x<4
x>1x > 1x>1