funksional qatorlar

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1576503680.doc 12nn 1 u()u()...u()...u() n xxxx ¥ = ++++= å 1020n0n0 1 u()u()...u()...u() n xxxx ¥ = ++++= å 2 0 1...... nn n xxxx ¥ = +++++= å 2 1 = x 2 1 = x å ¥ = = + + + + 0 3 2 2 1 ... 2 1 2 1 2 1 1 n n å ¥ = = + + + + + + 0 3 2 2 ... 2 ... 2 2 2 1 n n n 2 1 = x ()lim() n n fxsx ®¥ = ... ) x ( u ) x ( u ) x ( u ... ) x ( u ) x ( u 2 n 1 n n 2 1 + + + + + + + + ... ) ( ) ( 2 1 + + + + x u x u n n ..., ) …

asining har bir x nuqtasida qatorning f(x) yig`indisi n→ ∞ da xususiy yig`indisi ketma – ketlikning limitiga teng bo`ladi: (3) 4 –ta`rif: (4) qatorning (5) qismiga (1) qatorning n – qoldig`i deyiladi. agar qoldiq had yig`indilarini rn (x) bilan belgilasak, ya`ni (6) u holda, (7) o`rinli bo`lib, n→ ∞ da rn(x)→0 bo`ladi. (1) ning yaqinlashish sohasi (6) ning ham yaqinlashish sohasi bo`ladi. (7) tenglikdan quyidagi tenglikni hosil qilamiz: (8) bunda absolyut xatodan iborat bo`lib, o`rinli bo`ladi. _1405949649.unknown _1405949653.unknown _1405949657.unknown _1405949659.unknown _1405949660.unknown _1405949661.unknown _1405949658.unknown _1405949655.unknown _1405949656.unknown _1405949654.unknown _1405949651.unknown _1405949652.unknown _1405949650.unknown _1405949647.unknown _1405949648.unknown _1405949646.unknown

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1576503680.doc 12nn 1 u()u()...u()...u() n xxxx ¥ = ++++= å 1020n0n0 1 u()u()...u()...u() n xxxx ¥ = ++++= å 2 0 1...... nn n xxxx ¥ = +++++= å 2 1 = x 2 1 = x å ¥ = = + + + + 0 3 2 2 1 ... 2 1 2 1 2 1 1 n n å ¥ = = + + + + + + 0 3 2 2 ... 2 ... 2 2 2 1 n n n 2 1 = x ()lim() n n fxsx ®¥ = ... ) x ( u ) x ( u ) x ( u ... ) x ( u ) x ( u 2 n 1 n …

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