What is the limit as x approaches 0 of (x-1)/(x^2+1) ?

The limit as x approaches 0 of (x-1)/(x^2+1) is -1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

limit as x approaches 0 of (x-1)/(x^2+1)

x \to 0 lim (\frac{x - 1}{x ^{2} + 1})

- 1

Solution steps

x \to 0 lim (\frac{x - 1}{x ^{2} + 1})

Plug in the value

x = 0

= \frac{0 - 1}{0 ^{2} + 1}

Simplify

\frac{0 - 1}{0 ^{2} + 1} : - 1

= - 1

\int_{2}^{x} (t^{3} + 8 t - 5) d t

\frac{d}{d x} (a e^{x} cos (x))

\frac{\partial}{\partial x} (\frac{( 3 x - 3 z )}{y + 3 z})

\int 10 x e^{3 x^{2} - 7} d x

\int 3 cos (x) - 2 sin (x) d x

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