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

Popular >

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

\int_{1}^{\infty} e^{x} d x

(64 x - 4) (8 x^{2} - x + 5)

\frac{d}{d t} (t e^{- t})

\int (3 - sin (x)) d x

\int_{0}^{7} x e^{- 2 x} d x

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