Предмет: Алгебра, автор: eleonaise

Задание [2]
......................

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Ответы

Автор ответа: nepustilipoeta

а) при х→∞ числитель (√(4х⁶+3х+2)=√((2х³)²*(1+3х/4х⁶+2/4х⁶)=

2x³√(1+3х/4х⁶+2/4х⁶) ; подкоренное выражение стремится к единице; знаменатель должен иметь степень, большую трех, тогда он быстрее стремится к бесконечности. чем числитель.

Ответ λ>3

б) при х→-1

в знаменателе нуль. если положим λ=3, то числитель можем заменить эквивалентным выражением 3*(х+1) и тогда сократив дробь на (х+1) уходим от неопределенности [0/0] и получаем в ответе 3

Ответ λ=3

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