SONLI KETMA-KETLIKLAR VA ULARNING LIMITI: TA’RIFLAR, TEOREMALAR VA AMALIY MISOLLAR
Keywords:
Kalit so‘zlar: sonli ketma-ketlik, limit, ε–N ta’rifi, yaqinlashuvchi ketma-ketlik, Koshy mezoni, monoton ketma-ketlik, siqish teoremasi.Abstract
Annotatsiya. Ushbu ilmiy maqolada sonli ketma-ketlik tushunchasi, ketma-ketlik
limitining ε–N ta’rifi, limitning asosiy xossalari hamda yaqinlashuvni tekshirishga doir
klassik teoremalar (monotonlik va chegaralanganlik, siqish teoremasi, Koshy mezoni)
tizimli yoritiladi. Shuningdek, turli tipdagi ketma-ketliklarga oid hisob-kitobli misollar
keltirilib, limitning amaliy ahamiyati (algoritmlar yaqinlashuvi, iqtisodiy
modellashtirish, fizika jarayonlari) bo‘yicha qisqacha tahlil beriladi.
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