Teorema Taylor: Perbedaan antara revisi
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Baris 20:
Suku sisa adalah perbedaan antara fungsi dan polinomial hampirannya:
:<math>R_n(x) = f(x) - \left(f(a) + f'(a)(x-a) +\frac{f''(a)}{2!}(x-a)^2 +\dots \frac{f^{(n)}(a)}{n!}(x-a)^n\right).</math>
Baris 161 ⟶ 160:
:<math> f(x) = f(a) + f'(a)(x-a) + \frac{f''(a)}{2!}(x-a)^2 + \cdots + \frac{f^{(k)}(a)}{k!}(x-a)^k + h_k(x)(x-a)^k,</math>
<math>\mbox{
Hasil teorema yang muncul dalam teorema Taylor adalah '''''k''''' urutan pada Teorema Taylor, yaitu:
Baris 261 ⟶ 260:
== Rujukan ==
* {{cite book|title = Calculus|url = https://archive.org/details/calculus01apos|authorlink=Tom Apostol|first = Tom|last = Apostol|publisher = Jon Wiley & Sons, Inc.|year = 1967|isbn = 0-471-00005-1}}
* {{cite book|title = Calculus: An Intuitive and Physical Approach|url = https://archive.org/details/calculusintuitiv0000klin_o9z9|first = Morris|last = Klein|publisher = Dover|year = 1998|isbn = 0-486-40453-6}}
== Pranala luar ==
* {{en}}[http://cinderella.de/files/HTMLDemos/2C02_Taylor.html Trigonometric Taylor Expansion] Applet demonstrasi interaktif
* {{en}}[http://numericalmethods.eng.usf.edu/mws/gen/01aae/mws_gen_aae_txt_taylorseries.pdf Taylor Series Revisited] {{Webarchive|url=https://web.archive.org/web/20081010090303/http://numericalmethods.eng.usf.edu/mws/gen/01aae/mws_gen_aae_txt_taylorseries.pdf |date=2008-10-10 }} pada [http://numericalmethods.eng.usf.edu Holistic Numerical Methods Institute]
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