Question
The series (4x-3)+(4x-3)^2+(4x-3)^3................................is given for which values of X will the series converge??
Answers
Reiny
|4x-3| < 1
4x-3< 1 and -4x + 3< 1
4x < 4 and -4x< -2
x < 1 and x > 1/2
1/2 < x < 1 , that is, x has to be between 1/2 and 1
4x-3< 1 and -4x + 3< 1
4x < 4 and -4x< -2
x < 1 and x > 1/2
1/2 < x < 1 , that is, x has to be between 1/2 and 1