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vadikan556
@vadikan556
July 2022
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lim x^3+3x^2-x-3/ 2x-2 x-->1
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nKrynka
Lim x^3+3x^2-x-3/ 2x-2 x-->1
Упростим числитель: разложим на множители:
x^3 + 3x^2 - x - 3 = (x-1)*(x^2 + 4x + 3)
lim ( (x-1)*(x^2 + 4x + 3)) / 2(x-1) x---> 1
после сокращения получаем: L
im (x^2 + 4x + 3) / 2 = x---> 1
= 8
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Answers & Comments
x^3 + 3x^2 - x - 3 = (x-1)*(x^2 + 4x + 3)
lim ( (x-1)*(x^2 + 4x + 3)) / 2(x-1) x---> 1
после сокращения получаем: Lim (x^2 + 4x + 3) / 2 = x---> 1
= 8