What is the limit as x approaches 2-of (x-5)/(x-2) ?

The limit as x approaches 2-of (x-5)/(x-2) is infinity

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limit as x approaches 2-of (x-5)/(x-2)

x \to 2 - lim (\frac{x - 5}{x - 2})

\infty

Solution steps

x \to 2 - lim (\frac{x - 5}{x - 2})

\frac{x - 5}{x - 2} = (x - 5) \frac{1}{x - 2}

= x \to 2 - lim ((x - 5) \frac{1}{x - 2})

x \to a lim [f (x) \cdot g (x)] = x \to a lim f (x) \cdot x \to a lim g (x)

With the exception of indeterminate form

= x \to 2 - lim (x - 5) \cdot x \to 2 - lim (\frac{1}{x - 2})

x \to 2 - lim (x - 5) = - 3

x \to 2 - lim (\frac{1}{x - 2}) = - \infty

= (- 3) (- \infty)

Apply Infinity Property:

- c \cdot (- \infty) = \infty

= \infty

(17 y^{2} - x y) d x + x^{2} d y = 0

\int \frac{e ^{3 x}}{5 + e ^{3 x}} d x

\frac{d}{d x} (arccsc (- 6 x^{2}))

x \to 0 lim (\frac{x}{x ^{2} + 3 x})

\int u^{5} d u

What is the limit as x approaches 2-of (x-5)/(x-2) ?
The limit as x approaches 2-of (x-5)/(x-2) is infinity