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

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

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-2)/(x^2-1)

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

- \infty

Solution steps

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

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

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

x \to a lim [f (x) \cdot g (x)] = x \to a lim f (x) \cdot x \to a lim g (x)

With the exception of indeterminate form

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

x \to - 1 - lim (x - 2) = - 3

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

= (- 3) \cdot \infty

Apply Infinity Property:

- c \cdot \infty = - \infty

= - \infty

x \to + 0 lim (x)

e^{2 x}

\int (2 x + 3)^{4} d x

\int e^{uv} d u

\frac{d}{d x} (4 x^{5} - 10 x^{4} + 2)

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