9. loeng Astmeread, Taylori rida.
9. loeng Astmeread, Taylori rida.
9. loeng Astmeread, Taylori rida.
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Ridade teooriaMaclaurini reaksarendusi<strong>Taylori</strong> <strong>rida</strong>ln(1 + x) =cos x =ch x =∞∑(−1) k+1 x kk=1k∞∑(−1) k x 2k(2k)!k=0∞∑k=0x 2k(2k)!(R = 1), e x =∞∑k=0(R = ∞) sin x =(R = ∞) sh x =∞∑k=0x k(R = ∞)k!∞∑(−1) k x 2k+1(2k + 1)!k=0x 2k+1(2k + 1)!(R = ∞)(R =(1 + x) α = 1 +∞∑k=1α(α − 1) . . . (α − k + 1)x k (R = 1)k!G. Tamberg (TTÜ) YMM3740 Matemaatilne analüüs II 10 / 10
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