揰a傪娷傓嬫娫忋偱掕媊偝傟偨娭悢f(x)偑
cn+1媺丂(丂f丂,丂f丂'丂,丂f丂''丂,丒丒丒, f(n+1)
偑楢懕丂)偱偁傞偲偒丄師偑惉傝棫偪傑偡([丂僥僀儔乕偺掕棟丂])丅
丂丂丂丂丂丂丂丂丂丂丂丂丂丂丂丂丂丂丂丂丂丂丂
丂(偙偙偱c偼a偲x偺娫偺悢)
揰a偵偍偗傞丂n師僥僀儔乕懡崁幃
偺僌儔僼傪昤偄偰傒傑偟傚偆丅椺偊偽丄f(x)丂=丂ex丂偺丂0丂偵偍偗傞丂9
師偺僥僀儔乕懡崁幃傪峫偊偰傒傑偡丅Maple偱偼丄僥僀儔乕揥奐傪媮傔傞丂taylor娭悢偑慻傒崬傒娭悢偲偟偰梡堄偝傟偰偄傑偡丅
亜
taylor( exp(x) , x=0 , 10 )
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偲擖椡偡傞偲丄f(x) = ex 偵懳偟丄a = 0 , n = 9 偺応崌偺揥奐幃傪媮傔傞偙偲偑偱偒傑偡丅
摼傜傟偨寢壥偐傜忚梋崁丂R10傪庢傝彍偄偰
丄9師偺僥僀儔乕懡崁幃丂p9丂傪庢傝弌偡偵偼丄convert僐儅儞僪偵傛傝丄
丂亜
丂p9丂:丂=丂convert(丂%丂,丂polynom丂)丂
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偲偟傑偡丅丂y=p9(x)丂偲丂y=ex丂偺僌儔僼傪丄
椺偊偽掕媊堟丂[0,3]丂偲偟偰丄暲傋偰昤偄偰傒傑偟傚偆丅
亜plot(丂{丂exp(x)丂,丂p9丂}丂,丂x=0丂.丂.丂3丂)丂
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幚廗 13.1丂ex丂偺丂0丂偵偍偗傞僥僀儔乕懡崁幃
丂p3丂,丂p6丂,丂p9丂傪媮傔丄ex丂偲堦弿偵僌儔僼傪昤偄偰
丂ex丂傊偺廂懇惈傪挷傋偰傒傑偟傚偆丅
[惓夝椺]
幚廗丂13.2丂丂1/(1-x)丂偺丂0丂偵偍偗傞僥僀儔乕懡崁幃
p3丂,丂p6丂,丂p9丂傪媮傔丄1/(1-x)丂偲堦弿偵僌儔僼傪昤偄偰
丂1/(1-x)丂傊偺廂懇惈傪挷傋偰傒傑偟傚偆丅
[惓夝椺]