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

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

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

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

2

Solution steps

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

Plug in the value

x = 4

= \frac{4}{4 - 2}

Simplify

= 2

x \to 0 lim (x - x^{2})

x \to a lim (a x^{n})

x \to 1 lim (ln (x^{4}))

x \to \infty lim (\frac{1}{3} x)

x \to - 5 + lim (f (x))

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