Lim x стремится к 3 9-x^2/x+3

Question

Математика: Lim x стремится к 3 9-x^2/x+3

somovalelyЛеля15 · Accepted Answer

Решение
1) y = √(8 - x) / x
f(1) = √(8 - 1) / 1 = √7
f(3) = √(8 - 3) / 3 = √5 / 3
f((4) = √(8 - 4) / 4 = √4 /4 = 2/4 = 1/2
f(7) = √(8 - 7) / 7 = 1/7
2)
2.1 y = 1 / (x² - 3x)
y = 1 / (x² - 3x)
f(1) = 1 / (1² - 3*1) = - 1 / 2
f(3) = 1 / (3² - 3*3)1/0 = ∞
f(4) = 1 / (4² - 3*4) = 1 / (16 - 12) = 1 / 4
f(7) = 1 / (7² - 3*7) = 1 / (49 - 21) = 1 / 28
2.2 y = 1 / (x² - 5x + 4)
f(1) = 1 / (1² - 5*1 + 4) = 1 / 0 = ∞
f(3) = 1 / (3² - 5*3 + 4) = 1 / (9 - 15 + 4) = - 1 / 2
f(4) = 1 / (4² - 5*4 + 4) = 1 / (16 - 20 + 4) = 1 / 0 = ∞
f(7) = 1 / (7² - 5*7 + 4) = 1 / (49 - 35 + 4) = 1 / 10
2.3 y = √[(x - 4)/x + 1)]
f(1) = √(-3)/0 = ∞
f(3) = √[(3 - 4)/3 + 1)] = √-1/4 не существует
f(4) = √[(4 - 4)/4 + 1)] = √0/5 = 0
f(7) = √[(7 - 4)/7 + 1)] = √3/8

MOGZ ответил