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

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

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

3

Solution steps

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

Simplify

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

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

Plug in the value

x = - 1

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

Simplify

(- 1)^{2} - (- 1) + 1 : 3

= 3

\frac{d}{d x} (6 x^{- \frac{1}{2}})

y = 2 x^{2} + \frac{3}{x}

\frac{d}{d t} (0.1 cos (1 0^{5}) t)

\frac{d y}{d x} + \frac{y}{x} = \frac{1}{x ^{2}}

\int e^{- 4 x + π} d x

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