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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

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

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

- \infty

Solution steps

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

x \to a - lim f (x) = x \to a + lim f (x) = L

then

x \to a lim f (x) = L

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

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

= - \infty

t an g e n t y = \frac{- 6 x}{x ^{2} + 1}, (0, 0)

d er i v a t i v e f (x) = 4 x^{2} - x

\int \frac{1}{9 x} d x

a re a 7 e^{x}, 7 x e^{x^{2}}, 1, 7 e

t an g e n t f (x) = \frac{x}{( 1 + x ^{2} )}, at x = 2

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