What is the limit as x approaches 0-of 1/x+1 ?

The limit as x approaches 0-of 1/x+1 is -infinity

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 1/x+1

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

- \infty

Solution steps

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

x \to a lim [f (x) \pm g (x)] = x \to a lim f (x) \pm x \to a lim g (x)

With the exception of indeterminate form

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

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

x \to 0 - lim (1) = 1

= - \infty + 1

Apply Infinity Property:

- \infty + c = - \infty

= - \infty

x \to 0 lim (7 x csc (8 x))

x \to 0 lim (\frac{\frac{0}{x}}{\frac{0}{x}})

x \to 0 lim (sin (4 x) ln (x))

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

x \to 3 - lim (\frac{x - 3}{x})

What is the limit as x approaches 0-of 1/x+1 ?
The limit as x approaches 0-of 1/x+1 is -infinity