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

The limit as x approaches-1 of (1+1/x)/(x+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-1 of (1+1/x)/(x+1)

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

- 1

Solution steps

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

Simplify

\frac{1 + \frac{1}{x}}{x + 1} : \frac{1}{x}

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

Plug in the value

x = - 1

= \frac{1}{- 1}

Simplify

= - 1

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

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

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

x \to - 1 lim (\frac{2 x ^{2} - a x - 14}{x ^{2} - 2 x - 3})

x \to - 1 lim (4 x^{2} - 5 x + 5)

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