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Topic: Maiximum value of x that maintain the convergence of a series:
Replies: 7   Last Post: Oct 31, 2013 1:10 PM

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Luis A. Rodriguez

Posts: 732
Registered: 12/13/04
Maiximum value of x that maintain the convergence of a series:
Posted: Oct 29, 2013 11:45 AM
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Consider the series:
x + x^2 + (x + x^2)^3 + ....
U(n+1) = Un + (Un)^n
Which is the maximum x than maintain the convergence?
I think , 0.3105 < x < 0.311.
Please calculate x and U(100) with 6 correct digits.
Ludovicus



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