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

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

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-1)

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

diverges

Solution steps

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

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

then the limit does not exist

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

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

= diverges

\frac{\partial}{\partial y} (x y^{2} + x^{2} y)

\frac{\partial}{\partial x} (x^{2} y - x^{3})

\frac{\partial}{\partial x} (6 x y^{2} - 2 x^{3} - 3 y^{4})

\frac{d ^{2} y}{d x ^{2}} = 3

\frac{\partial}{\partial x} (2 x + 4 y)

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