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

= 1

x \to \infty lim (17)

x \to - \infty lim (3 x^{3})

x \to 1 lim (x^{2} + 3)

x \to - 1 lim (\frac{x ^{2} - 9}{x - 3})

x \to 1 lim (\frac{97 π x}{1 - 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