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Anonymous 12/11/04(Sun)12:01 No. 228

How can you take the square root of an infinite series and express it as another series?

Anonymous 12/11/04(Sun)12:46 No. 231

Suppose S is a series.
If root(x) is the taylor series expansion of the square root function applied to x then root(S) is the taylor series expansion of the square root of S.
However, you have to be really careful about reordering the terms because you can only do that for absolutely convergent series. Also, you have to be careful about finding the radius of convergence of the original series AND of the taylor expansion of the square root function since they are only equal within this radius.

>>	Anonymous 12/11/04(Sun)15:16 No. 232 >>231 Fuck that ugly shit!

>>	Anonymous 12/11/20(Tue)10:48 No. 263 >>231 Nope

>>	Anonymous 12/11/20(Tue)10:48 No. 264 >>231 Nope

>>	Anonymous 12/12/11(Tue)23:31 No. 285 [; \int_0^1 \! f(x) \, dx = 0 ;]

>>	Anonymous 13/11/23(Sat)21:28 No. 348 >>231 >If root(x) is the taylor series expansion NOPE.

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