SOLUTION: Find the x values so that the infinite series become finite. (infinite) (Sigma) 3(x-2)^(k-1) (k=1) Could you help me with this question? Thank you.

Algebra ->  Sequences-and-series -> SOLUTION: Find the x values so that the infinite series become finite. (infinite) (Sigma) 3(x-2)^(k-1) (k=1) Could you help me with this question? Thank you.      Log On


   

Question 199680: Find the x values so that the infinite series become finite.
(infinite)
(Sigma) 3(x-2)^(k-1)
(k=1)
Could you help me with this question? Thank you.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
The series




will converge if and only if


So this means that you simply need to solve abs%28x-2%29%3C1 to find the set of x values (since in this case, r=x-2)