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

The limit as x approaches 1 of ((1+x)^2-1)/x is 3

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+x)^2-1)/x

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

3

Solution steps

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

Plug in the value

x = 1

= \frac{( 1 + 1 ) ^{2} - 1}{1}

Simplify

= 3

x \to 9 lim (8 x)

x \to \infty lim (x a^{x})

x \to - \infty lim (- 1 \cdot (x))

x \to 0 lim (\frac{x ^{2} - 2 x}{4 x})

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

What is the limit as x approaches 1 of ((1+x)^2-1)/x ?
The limit as x approaches 1 of ((1+x)^2-1)/x is 3