What is the limit as x approaches 0-of arctan(1/x) ?

The limit as x approaches 0-of arctan(1/x) is -pi/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

limit as x approaches 0-of arctan(1/x)

x \to 0 - lim (arctan (\frac{1}{x}))

- \frac{π}{2}

Decimal

- 1.57079 \dots

Solution steps

x \to 0 - lim (arctan (\frac{1}{x}))

Apply the Limit Chain Rule:

- \frac{π}{2}

= - \frac{π}{2}

What is the limit as x approaches 0-of arctan(1/x) ?
The limit as x approaches 0-of arctan(1/x) is -pi/2