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

The limit as x approaches 1 of x/(x-1)-1/x 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/(x-1)-1/x

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

diverges

Solution steps

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

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}{x - 1} - \frac{1}{x}) = \infty

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

= diverges

\int \frac{x + 2}{x ^{2} + 4} d x

\frac{\partial}{\partial x} (7 x^{3 y})

\int \frac{x ^{7}}{( 1 + x ^{4} ) ^{2}} d x

(\frac{( e ^{6} )}{( e ^{4} )})^{- 1}

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

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