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

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

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+1)/(x^4-1)

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

- \frac{1}{4}

Decimal Notation

- 0.25

Solution steps

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

Simplify

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

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

Plug in the value

x = - 1

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

Simplify

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

= - \frac{1}{4}

x \to \frac{1}{8} lim (\frac{1}{x} + x^{1})

x \to 0 lim (\frac{4 ^{x} - 1}{5 x})

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

x \to 0 lim (\frac{sin ( x ) cos ( x )}{x ( 1 + cos ( x ) )})

x \to 0 lim (x^{2} ln^{2} (x))

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