Timeline for radius of convergence for taylor series in mathematica
Current License: CC BY-SA 4.0
11 events
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| Feb 26, 2020 at 17:44 | vote | accept | user62716 | ||
| Feb 26, 2020 at 17:17 | comment | added | user62716 | Thanks march do you have some good book or lecture notes for that!!! | |
| Feb 26, 2020 at 17:15 | comment | added | march | In the new edit, you now have the first few terms of the Taylor series of cosine instead of the Taylor series for the exponential, but these two power series are intimately related to each other, and anyway, the first method I outlined below will work because we have a closed form for the coefficients of that entire series. I'm beginning to suspect a little that you need to read up a little on series, radius of convergence, Taylor series, and such. | |
| Feb 26, 2020 at 17:12 | history | edited | user62716 | CC BY-SA 4.0 |
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| Feb 26, 2020 at 16:54 | history | edited | user62716 | CC BY-SA 4.0 |
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| Feb 26, 2020 at 16:48 | history | edited | user62716 | CC BY-SA 4.0 |
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| Feb 26, 2020 at 16:47 | answer | added | march | timeline score: 2 | |
| Feb 26, 2020 at 16:45 | comment | added | user62716 | Dear, yes I want to evaluate the radius of convergence is |an/an+1| for large n, for any series , what shall use in mathematica? | |
| Feb 26, 2020 at 16:41 | comment | added | march | I believe one way to estimate the radius of convergence is $|a_{n}/a_{n+1}|$ for large $n$. In this case, that limit goes to infinity, which would imply an infinite radius of convergence (which is true here, since I'm assuming that's the power series for $e^x$). | |
| Feb 26, 2020 at 16:34 | history | edited | Szabolcs | CC BY-SA 4.0 |
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| Feb 26, 2020 at 16:18 | history | asked | user62716 | CC BY-SA 4.0 |