What is the limit as x approaches 2 of (4/x-2)/(x-2) ?

The limit as x approaches 2 of (4/x-2)/(x-2) is -1

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limit as x approaches 2 of (4/x-2)/(x-2)

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

- 1

Solution steps

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

Simplify

\frac{\frac{4}{x} - 2}{x - 2} : - \frac{2}{x}

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

Plug in the value

x = 2

= - \frac{2}{2}

Simplify

= - 1

\frac{\partial}{\partial x} (z^{2})

\int \frac{5 x}{5 x ^{2} + 2} d x

f (x) = e^{6} + ln (4)

\frac{d}{d x} (4 x^{3} - 24 x^{2} + 36 x)

\frac{d P}{d t} = 1 P (500 - P)

What is the limit as x approaches 2 of (4/x-2)/(x-2) ?
The limit as x approaches 2 of (4/x-2)/(x-2) is -1