What is the limit as x approaches 0 of (x-1)/(x^2-1) ?

The limit as x approaches 0 of (x-1)/(x^2-1) is 1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

limit as x approaches 0 of (x-1)/(x^2-1)

x \to 0 lim (\frac{x - 1}{x ^{2} - 1})

1

Solution steps

x \to 0 lim (\frac{x - 1}{x ^{2} - 1})

Plug in the value

x = 0

= \frac{0 - 1}{0 ^{2} - 1}

Simplify

= 1

d er i v a t i v e (x^{2} + 1) (x + 5 + \frac{1}{x})

y^{^{'}} = (3 x - 2)^{2} (30 x + 29)

t y^{^{'}} + (t + 1) y = 2 t e^{- t}

in v erse l a pl a ce \frac{2 s + 12}{s ^{2} + 6 s + 18}

\int \frac{5 x ^{3} - 4 x}{1 - x ^{4}} d x

What is the limit as x approaches 0 of (x-1)/(x^2-1) ?
The limit as x approaches 0 of (x-1)/(x^2-1) is 1