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Matematik analiz Diyorbek

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Diyorbek

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Uzbekistan

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Matematik analiz Diyorbek
 

Matematik analiz DiyorbekOnline version

Diyorbek

by Ergashjon Safaraliyev
1

Egri chiziq yoyining uzunligini hisoblashda faqat funksiyaning o'zini integrallash yetarlimi?

2

Funksiyaning aniqmas integrali deganda faqat bitta yagona funksiya tushuniladimi?

3

Nyuton-Leybnits formulasi aniq integralni hisoblashda asosiy formula hisoblanadimi?

4

Integrallash chegarasi cheksiz bo'lgan integrallar xosmas integrallar deyiladimi?

5

Musbat hadli qatorlar uchun Dalamber alomati bo'yicha limit 1 dan kichik bo'lsa, qator yaqinlashuvchi bo'ladimi?

6

Darajali qator ixtiyoriy x soni uchun har doim yaqinlashuvchi bo'ladimi?

7

Funksiyaning ekstremum nuqtalarida uning hosilasi nolga teng bo'lishi yoki mavjud bo'lmasligi mumkinmi?

8

Darajali qator o'zining yaqinlashish radiusi ichidagi har bir nuqtada mutlaq yaqinlashuvchi bo'ladimi?

9

Funksiyani darajali qatorga yoyishda Teylor formulasidan foydalaniladimi?

10

Ratsional kasrlarni integrallashda har doim faqat logarifm funksiyasi hosil bo'ladimi?

11

Aniq integral yordamida egri chiziqli trapetsiyaning yuzasini hisoblash mumkinmi?

12

Funksiyaning differensiali uning orttirmasining chiziqli bosh qismiga tengmi?

13

Agar funksiya berilgan nuqtada uzluksiz bo'lsa, u shu nuqtada har doim hosilaga ega bo'ladimi?

14

Fure qatoriga faqatgina ko'phad ko'rinishidagi funksiyalarni yoyish mumkinmi?

15

Agar qatorning umumiy hadi nolga intilsa (a_n \to 0), bu qator har doim yaqinlashuvchi bo'ladimi?

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