SOLUTION: Determine the values of x for {{{highlight(cross(qhich))}}} which the series converges 1+(1/2x-1)+1/(2x-1)^2+.....

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Question 1070019: Determine the values of x for highlight%28cross%28qhich%29%29 which the series converges
1+(1/2x-1)+1/(2x-1)^2+.....
Answer by ikleyn(52788) About Me  (Show Source):
You can put this solution on YOUR website!
.
A sufficient and necessary condition for this series to be convergent is 


  |2x-1| > 1.


I think the solution of this inequality is elementary task for the person who just studies series.