What is the limit as x approaches 0 of ((x+1)^3-1)/x ?

The limit as x approaches 0 of ((x+1)^3-1)/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 0 of ((x+1)^3-1)/x

x \to 0 lim (\frac{( x + 1 ) ^{3} - 1}{x})

3

Solution steps

x \to 0 lim (\frac{( x + 1 ) ^{3} - 1}{x})

Simplify

\frac{( x + 1 ) ^{3} - 1}{x} : x^{2} + 3 x + 3

= x \to 0 lim (x^{2} + 3 x + 3)

Plug in the value

x = 0

= 0^{2} + 3 \cdot 0 + 3

Simplify

= 3

\frac{1}{x - 3}

\frac{\partial}{\partial x} (\frac{s - 2 r}{t})

\int 2 t + 3 d t

f (t) = \frac{8 t}{8 + t}

\int x cos (4 x^{2}) d x

What is the limit as x approaches 0 of ((x+1)^3-1)/x ?
The limit as x approaches 0 of ((x+1)^3-1)/x is 3