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

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

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

x \to 5 lim (\frac{x}{∣ x - 5 ∣})

\infty

Solution steps

x \to 5 lim (\frac{x}{∣ x - 5 ∣})

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

then

x \to a lim f (x) = L

x \to 5 - lim (\frac{x}{∣ x - 5 ∣}) = \infty

x \to 5 + lim (\frac{x}{∣ x - 5 ∣}) = \infty

= \infty

y = x^{2} - x, (1, 0)

\int_{0}^{π} sin^{2} (5 x) d x

\frac{d y}{d x} + 2 y = 4

(5, - 3), (- 3, 6)

(\frac{1}{x})^{^{'}}

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