Determine the sum to infinity of 1+2x+3x2+4x3+…1 + 2x + 3x^2 + 4x^3 + \dots1+2x+3x2+4x3+… for ∣x∣<1|x| < 1∣x∣<1. (Arithmetico-Geometric series)
1/(1−x)21/(1-x)^21/(1−x)2
1/(1−x)1/(1-x)1/(1−x)
x/(1−x)2x/(1-x)^2x/(1−x)2
2/(1−x)22/(1-x)^22/(1−x)2