Задача 71196 Задание №3 A = lim...

63f257933348577249b52495

04.05.2023 08:31:32

Задание №3 A = lim arcsin(-7(x-5))/(x^2-9x+20)

5f3ea7e3faf909182968ddd9

04.05.2023 09:18:10

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[m]x^2-9x+20=(x-4)(x-5)[/m]

[m]lim_{x → 5}\frac{arcsin(-7(x-5))}{x^2-9x+20}=lim_{x → 5}\frac{arcsin(-7(x-5))}{(x-4)(x-5)}=lim_{x → 5}\frac{arcsin(-7(x-5))}{(-7(x-5))}\cdot lim_{x → 5}\frac{(-7)}{x-4}=1\cdot\frac{(-7)}{5-1}=-7[/m]