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9. loeng Astmeread, Taylori rida.

9. loeng Astmeread, Taylori rida.

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Ridade teooria<strong>Taylori</strong> <strong>rida</strong>Astmeritta arenduse ühesusLause 7Funktsiooni f (x) <strong>Taylori</strong> <strong>rida</strong>jaf (x) =∞∑k=0f (k) (a)(x − a) k , x ∈ (a − R, a + R)k!f (x) =∞∑a k (x − a) kk=0punkti a mingis ümbruses, siis see astme<strong>rida</strong> langeb kokku funktsioonif (x) <strong>Taylori</strong> reaga, st. funktsiooni arendus astmeritta (x − a) astmetejärgi on ühene.G. Tamberg (TTÜ) YMM3740 Matemaatilne analüüs II 9 / 10

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