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

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

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^4-1)/(x-1)

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

4

Solution steps

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

Simplify

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

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

Plug in the value

x = 1

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

Simplify

= 4

n = 1 \sum \infty \frac{8 n}{- 2 n + 9}

y^{^{''}} + 5 y^{^{'}} - 6 y = 22 + 18 x - 18 x^{2}

\frac{d}{d x} (f (x) (4 sin (x^{2} - 1)))

\int x^{2} x^{2} - 49 d x

\frac{d}{d x} (e^{x^{2} + 7 x})

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