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

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

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

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

diverges

Solution steps

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

x \to a - lim f (x) \neq = x \to a + lim f (x)

then the limit does not exist

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

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

= diverges

(x + y)^{2} + (2 x y + x^{2} - 1) \frac{d y}{d x} = 0

\int_{- 2}^{2} x 4 - x^{2} d x

y = 4 x^{2}, y = x^{2} + 3

\int_{- 1}^{4} (6 x - 9) d x

x \to \infty lim (\frac{x}{n})

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