0 name: Switch category to $module$/top/╨Я╨╛ ╤Г╨╝╨╛╨╗╤З╨░╨╜╨╕╤О ╨┤╨╗╤п joriy nazorat

tekis   yaqinlashadi

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Yaqinlashuvchi

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Musbat qator

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Ishorasi almashinuvchi \nqator

}

73129 name: qator haqida nima deyish mumkin?

::qator haqida nima deyish mumkin?::[html]
\\( \\sum_\{n\=0\}^ \\infty \\frac\{x^2\}\{(1+x^2)^n\} \\)
qator   haqida  nima deyish mumkin?
{
=
\\( \\lim_\{x \\rightarrow \\infty\}\\sum_\{n\=0\}^ \\infty u_n(x) \\neq \\sum_\{n\=0\}^ \\infty \\lim_\{x \\rightarrow \\infty\}u_n(x) \\)

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uzluksiz

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\\( u_n(x)\= \\frac\{x^2\}\{(1+x^2)^n\} \\)

}

0 name: Switch category to $module$/top/По умолчанию для Funksional qator tushunchasi, aniqlanish va yaqinlashish sohalari.
$CATEGORY: $module$/top/По умолчанию для Funksional qator tushunchasi, aniqlanish va yaqinlashish sohalari.

74906 name: Agar funksional qatorning M to`plamda tekis yaqinlashuvchi bo`lishi uchun ……………………………………tenglikning bajarilishi zarur va yetarli.

::Agar funksional qatorning M to`plamda tekis yaqinlashuvchi bo`lishi uchun ……………………………………tenglikning bajarilishi zarur va yetarli.::[html]
Agar funksional  qatorning  M \nto`plamda  tekis yaqinlashuvchi\nbo`lishi uchun  ……………………………………tenglikning bajarilishi zarur va yetarli.
{
=
\\( \\lim_\{n \\rightarrow \\infty\}\\sup_\{x\\in M\}|r_n(x)|\=0 \\)

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\\( |\\sum_\{k\=n\}^\{n+p\}u_k(x)|<\\varepsilon \\)

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\\( |u_n(x)|\\leq a \\)

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\\( |B_n(x)|\\leq K \\)

}

74905 name: Agar funksional qatorning qismiy yig`indilaridan tuzilgan funksional ketma-ketlik M to`plamda qatorning yig`indisi S ga tekis yaqinlashsa, unda funksional qator M to`plamda …………………………. deyiladi.

::Agar funksional qatorning qismiy yig`indilaridan tuzilgan funksional ketma-ketlik M to`plamda qatorning yig`indisi S ga tekis yaqinlashsa, unda funksional qator M to`plamda …………………………. deyiladi.::[html]