What is the limit as x approaches 7 of (7/x-1)/(x-7) ?

The limit as x approaches 7 of (7/x-1)/(x-7) is -1/7

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

limit as x approaches 7 of (7/x-1)/(x-7)

x \to 7 lim (\frac{\frac{7}{x} - 1}{x - 7})

- \frac{1}{7}

Decimal Notation

- 0.14285 \dots

Solution steps

x \to 7 lim (\frac{\frac{7}{x} - 1}{x - 7})

Simplify

\frac{\frac{7}{x} - 1}{x - 7} : - \frac{1}{x}

= x \to 7 lim (- \frac{1}{x})

Plug in the value

x = 7

= - \frac{1}{7}

\int \frac{1}{4 ( x - 1 )} d x

\frac{\partial}{\partial x} (6 sin (x y))

\frac{d}{d x} ((\frac{x + 3}{x - 3})^{4})

\frac{\partial}{\partial x} (\frac{y - z}{x})

\int_{0}^{1} (x - x)^{2} d x

What is the limit as x approaches 7 of (7/x-1)/(x-7) ?
The limit as x approaches 7 of (7/x-1)/(x-7) is -1/7