What is the limit as x approaches infinity of arctan(x^2-x^5) ?

The limit as x approaches infinity of arctan(x^2-x^5) is -pi/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

limit as x approaches infinity of arctan(x^2-x^5)

x \to \infty lim (arctan (x^{2} - x^{5}))

- \frac{π}{2}

Decimal Notation

- 1.57079 \dots

Solution steps

x \to \infty lim (arctan (x^{2} - x^{5}))

Apply the Limit Chain Rule:

- \frac{π}{2}

= - \frac{π}{2}

y = e^{x} ln (x), (1, 0)

\frac{\partial}{\partial y} (e^{x} y^{2})

\frac{d}{d x} (tan (x) - 1)

(2.4) (0.8)

\frac{d r}{d t} = \frac{sec ^{2} ( t )}{tan ( t ) + 1}

What is the limit as x approaches infinity of arctan(x^2-x^5) ?
The limit as x approaches infinity of arctan(x^2-x^5) is -pi/2