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復(fù)習(xí)筆記Day3

2022-08-24 04:28 作者:臥煙鈴  | 我要投稿

今天也和之前一樣給帶火分享一道高代和一道數(shù)分

9.(%E4%B8%AD%E5%B1%B1%E5%A4%A7%E5%AD%A62017)

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%E8%AF%81%EF%BC%9A

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%E4%BA%8E%E6%98%AF%7C%5Clambda_j%5EkI-A%5Ek%7C%3D%7C(%5Clambda_j%20I-A)(%5Clambda_j%5E%7Bk-1%7DI%2B%5Clambda_j%5E%7Bk-2%7DA%2B%5Ccdots%2B%5Clambda_j%20A%5E%7Bk-2%7D%2BA%5E%7Bk-1%7D)%7C%3D0

%E6%89%80%E4%BB%A5%5Clambda_j%5Ek%E6%98%AFA%5Ek%E7%9A%84%E7%89%B9%E5%BE%81%E5%80%BC(j%3D1%2C2%2C%5Cldots%2Cn)

%E4%BA%8E%E6%98%AF%5Csum_%7Bk%3D1%7D%5E%5Cinfty%5Cfrac%7B1%7D%7Bk%7Dtr(A)%5Ek%3D%5Csum_%7Bk%3D1%7D%5E%5Cinfty%5Cfrac%7B1%7D%7Bk%7D(%5Clambda_1%5Ek%2B%5Clambda_2%5Ek%2B%5Ccdots%2B%5Clambda_n%5Ek)

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這道題也就看上去嚇人了那么點(diǎn)而已,只不過(guò)是稍微把高代和級(jí)數(shù)的知識(shí)縫合了一下罷了

接下來(lái)是一道相當(dāng)傳統(tǒng)的數(shù)列極限題

1.(%E4%B8%AD%E5%9B%BD%E4%BA%BA%E6%B0%91%E5%A4%A7%E5%AD%A62022)

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ii)%5C%20a_n%E6%94%B6%E6%95%9B%EF%BC%8C%E5%B9%B6%E6%B1%82%E5%87%BA%5Clim_%7Bn%5Cto%20%5Cinfty%7Da_n

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i)%5C%20%E4%BB%A4g_n(x)%3Df_n(x)-1

g_n(%5Cfrac%7B1%7D%7B2%7D)%3Df_n(%5Cfrac%7B1%7D%7B2%7D)-1%3D%5Cfrac%7B1%7D%7B2%7D%2B(%5Cfrac%7B1%7D%7B2%7D)%5E2%2B(%5Cfrac%7B1%7D%7B2%7D)%5E3%2B%5Ccdots%2B(%5Cfrac%7B1%7D%7B2%7D)%5En-1

f_n(%5Cfrac%7B1%7D%7B2%7D)-f_%7Bn-1%7D(%5Cfrac%7B1%7D%7B2%7D)%3D(%5Cfrac%7B1%7D%7B2%7D)%5En%3E0%2Cn%3D3%2C4%2C%5Cldots%2C%E6%95%85f_n(%5Cfrac%7B1%7D%7B2%7D)%E6%98%AF%E9%80%92%E5%A2%9E%E6%95%B0%E5%88%97

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f_n(%5Cfrac%7B1%7D%7B2%7D)%3C1%2Cn%3D2%2C3%2C%5Cldots%2C%E6%95%85g_n(%5Cfrac%7B1%7D%7B2%7D)%3C0

%E8%80%8C%E6%88%91%E4%BB%AC%E5%AE%B9%E6%98%93%E7%9F%A5%E9%81%93f_n(1)%3Dn%E4%B8%94n%3D2%2C3%2C%5Ccdots%0A

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%E6%88%91%E4%BB%AC%E7%9F%A5%E9%81%93f_n(a_n)%3D1%2C%E6%89%80%E4%BB%A5f_%7Bn%2B1%7D(a_n)%3Ef_n(a_n)%3D1

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a_n%3Ea_%7Bn%2B1%7D%EF%BC%8C%E6%95%85a_n%E5%8D%95%E8%B0%83%E9%80%92%E5%87%8F%EF%BC%8C%E8%80%8C%E5%8F%88%E5%9B%A0%E4%B8%BAa_n%E6%9C%89%E7%95%8C%EF%BC%8C%E6%89%80%E4%BB%A5a_n%E6%94%B6%E6%95%9B

%E5%AE%B9%E6%98%93%E5%BE%97%E7%9F%A5g_n(x)%3Df_n(x)-1%3Dx%5Cfrac%7B1-x%5En%0A%7D%7B1-x%7D-1

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復(fù)習(xí)筆記Day3的評(píng)論 (共 條)

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