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You are not logged in. #1 20110510 10:21:47
Numerical method for radius of convergence.Hi; We need to compute the ordered pairs: The above generates: Extrapolate the value in the second column for n = ∞. Looks like we get .5625. Here is another one: This one is a little tougher we must extrapolate to 1 / ∞. So you do a linear fit of the last two points. You get: The limit of that as x approaches 0 is obviously .2498259 Which is close to the the exact answer of 2. In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. 