Предел функции atan(cos(x))

Вы ввели

 lim atan(cos(x))
x->oo            

$$\lim_{x \to \infty} \operatorname{atan}{\left(\cos{\left(x \right)} \right)}$$

Быстрый ответ

atan(<-1, 1>)

$$\operatorname{atan}{\left(\left\langle -1, 1\right\rangle \right)}$$

Другие пределы при x→0, -oo, +oo, 1

$$\lim_{x \to \infty} \operatorname{atan}{\left(\cos{\left(x \right)} \right)} = \operatorname{atan}{\left(\left\langle -1, 1\right\rangle \right)}$$
$$\lim_{x \to 0^-} \operatorname{atan}{\left(\cos{\left(x \right)} \right)} = \frac{\pi}{4}$$

$$\lim_{x \to 0^+} \operatorname{atan}{\left(\cos{\left(x \right)} \right)} = \frac{\pi}{4}$$

$$\lim_{x \to 1^-} \operatorname{atan}{\left(\cos{\left(x \right)} \right)} = \operatorname{atan}{\left(\cos{\left(1 \right)} \right)}$$

$$\lim_{x \to 1^+} \operatorname{atan}{\left(\cos{\left(x \right)} \right)} = \operatorname{atan}{\left(\cos{\left(1 \right)} \right)}$$

$$\lim_{x \to -\infty} \operatorname{atan}{\left(\cos{\left(x \right)} \right)} = \operatorname{atan}{\left(\left\langle -1, 1\right\rangle \right)}$$

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