Deret (matematika): Perbedaan antara revisi

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Baris 179:
[[Deret Taylor]] pada suatu titik ''c'' pada suatu fungsi adalah suatu deret pangkat yang dalam banyak kasus berkonvergen menjadi suatu fungsi dalam lingkungan ''c''. Misalnya, deret
:<math>\sum_{n=0}^{\infty} \frac{x^n}{n!}</math>
adalah deret Taylor <math>e^x</math> pada titik origin dan berkonvergen ke arathnyakepadanya untuk setiap ''x''.
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Unless it converges only at ''x''=''c'', such a series converges on a certain open disc of convergence centered at the point ''c'' in the complex plane, and may also converge at some of the points of the boundary of the disc. The radius of this disc is known as the [[radius of convergence]], and can in principle be determined from the asymptotics of the coefficients ''a''<sub>''n''</sub>. The convergence is uniform on [[closed set|closed]] and [[bounded set|bounded]] (that is, [[compact set|compact]]) subsets of the interior of the disc of convergence: to wit, it is [[Compact convergence|uniformly convergent on compact sets]].
Baris 418:
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== Lihat pula ==
*[[Continued fraction]]