What is the limit as x approaches 1 of ((x+2)^2-4)/x ?

The limit as x approaches 1 of ((x+2)^2-4)/x is 5

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 ((x+2)^2-4)/x

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

5

Solution steps

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

Plug in the value

x = 1

= \frac{( 1 + 2 ) ^{2} - 4}{1}

Simplify

= 5

x \to 5 lim (4 x - 20)

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

x \to 4 lim (- \frac{1}{x ^{2} - 16})

x \to 0 lim (\frac{sin ^{2} ( 8 x )}{x})

k \to \infty lim (ln (k))

What is the limit as x approaches 1 of ((x+2)^2-4)/x ?
The limit as x approaches 1 of ((x+2)^2-4)/x is 5