What is the limit as x approaches 6 of (6/x-1)/(x-6) ?

The limit as x approaches 6 of (6/x-1)/(x-6) is -1/6

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limit as x approaches 6 of (6/x-1)/(x-6)

x \to 6 lim (\frac{\frac{6}{x} - 1}{x - 6})

- \frac{1}{6}

Decimal

- 0.16666 \dots

Solution steps

x \to 6 lim (\frac{\frac{6}{x} - 1}{x - 6})

Simplify

\frac{\frac{6}{x} - 1}{x - 6} : - \frac{1}{x}

= x \to 6 lim (- \frac{1}{x})

Plug in the value

x = 6

= - \frac{1}{6}

\frac{d}{d x} (\frac{x}{π})

\frac{d y}{d x}, \frac{x}{y} = 0

\int_{0}^{4} x^{4} d x

(\frac{4}{x}), (16 x), (\frac{1}{4} x)

x \to 2 + lim (\frac{2}{x ^{2} - 4})

What is the limit as x approaches 6 of (6/x-1)/(x-6) ?
The limit as x approaches 6 of (6/x-1)/(x-6) is -1/6