Lectures11and12and13

Lectures11and12and13 - C e ge ce f iee ie e ed e e i ed ha...

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Unformatted text preview: C e ge ce f iee ie e ed e e i ed ha a ea i eca ea f c i cab ea id b eea ia e ie : f ( x ) = summationdisplay k =0 f ( k ) ( x ) k ! ( x- x ) k . e e k ig ih i iee iee ie eca eF ea ec id eh e f igca c a i : = 0 + 0 + 0 + 0 + = (1- 1) + (1- 1) + (1- 1) + (1- 1) + = 1- 1 + 1- 1 + 1- 1 + 1- 1 + = 1 + (- 1 + 1) + (- 1 + 1) + (- 1 + 1) + = 1 + 0 + 0 + 0 + = 1 egedha iha a d7i e ec e a a h e a ic ia aa ia kb h ea e fG idG ad i feca edG idba d ee ed h ia f fh ee ie ce fG d i ce iggeed ha h e i eec dha eb ee cea ed f h ig !ha h eac a ea i c ea b edk ha h eb igh e id fh eda ee eh e a i ha h e b e a e ib ia ea ecg ied ha h e b e a i h eh id i eab e ;h e ab eha a ec ea ead h e b e ia ec ea h eggeed ha h e 1- 1 + 1- 1 + 1- 1 + h db ea ig ed h ea e i ce ia ea ed ha eea bab ii f g i igaa e f ! da e i g ea ha h e c ege eh e a h ee c ege h ieh e e ib e ee i de c ege i h e d i d iege ea ha ea ec ied e i i f ha e eab h i : D e i i A i iee ie j e ie fc a a k id e eda summationdisplay k =0 a k = lim n n summationdisplay k =0 a k . h e d g i ea e e ce f b e { a k } , ec c h e e e ce fa ia { s n } : s = a s 1 = a + a 1 s 2 = a + a 1 + a 2 s n = a + a 1 + a 2 + + a n fh ee e ce { s n } c ege s , a ha i if lim n s n = s , h e e a ha h ee ie summationdisplay k =0 a k c ege ad i i s. h e iei d iege C e : d e i i a ee ab ic f iga b i i ac a j a ec ie a h e a ica a e e fa e i i i e id eaC id e summationdisplay k =0 1 2 k ....
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Lectures11and12and13 - C e ge ce f iee ie e ed e e i ed ha...

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