Предел функции log(sin(x))*sin(x)

Вы ввели

 lim (log(sin(x))*sin(x))
x->0+                    

$$\lim_{x \to 0^+}\left(\log{\left(\sin{\left(x \right)} \right)} \sin{\left(x \right)}\right)$$

Слева и справа

 lim (log(sin(x))*sin(x))
x->0+                    

$$\lim_{x \to 0^+}\left(\log{\left(\sin{\left(x \right)} \right)} \sin{\left(x \right)}\right)$$

0

$$0$$

= -0.00185919843575947

 lim (log(sin(x))*sin(x))
x->0-                    

$$\lim_{x \to 0^-}\left(\log{\left(\sin{\left(x \right)} \right)} \sin{\left(x \right)}\right)$$

0

$$0$$

= (0.00188743473963812 - 0.000778278383302427j)

Быстрый ответ

0

$$0$$

Другие пределы при x→0, -oo, +oo, 1

$$\lim_{x \to 0^-}\left(\log{\left(\sin{\left(x \right)} \right)} \sin{\left(x \right)}\right) = 0$$
Подробнее при x→0 слева
$$\lim_{x \to 0^+}\left(\log{\left(\sin{\left(x \right)} \right)} \sin{\left(x \right)}\right) = 0$$
$$\lim_{x \to \infty}\left(\log{\left(\sin{\left(x \right)} \right)} \sin{\left(x \right)}\right) = \left\langle -1, 1\right\rangle \log{\left(\left\langle -1, 1\right\rangle \right)}$$
Подробнее при x→oo
$$\lim_{x \to 1^-}\left(\log{\left(\sin{\left(x \right)} \right)} \sin{\left(x \right)}\right) = \log{\left(\sin{\left(1 \right)} \right)} \sin{\left(1 \right)}$$
Подробнее при x→1 слева
$$\lim_{x \to 1^+}\left(\log{\left(\sin{\left(x \right)} \right)} \sin{\left(x \right)}\right) = \log{\left(\sin{\left(1 \right)} \right)} \sin{\left(1 \right)}$$
Подробнее при x→1 справа
$$\lim_{x \to -\infty}\left(\log{\left(\sin{\left(x \right)} \right)} \sin{\left(x \right)}\right) = \left\langle -1, 1\right\rangle \log{\left(\left\langle -1, 1\right\rangle \right)}$$
Подробнее при x→-oo

Численный ответ

-0.00185919843575947

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