What is the limit as x approaches 7 of 1/(|7-x|) ?

The limit as x approaches 7 of 1/(|7-x|) is infinity

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limit as x approaches 7 of 1/(|7-x|)

x \to 7 lim (\frac{1}{∣ 7 - x ∣})

\infty

Solution steps

x \to 7 lim (\frac{1}{∣ 7 - x ∣})

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

then

x \to a lim f (x) = L

x \to 7 - lim (\frac{1}{∣ 7 - x ∣}) = \infty

x \to 7 + lim (\frac{1}{∣ 7 - x ∣}) = \infty

= \infty

\int (\frac{x}{y} + \frac{y}{x}) d y

y = \frac{2 x - 3}{3 x + 1}

1 + 4 x

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

\int_{2}^{4} 5 t^{2} d t

What is the limit as x approaches 7 of 1/(|7-x|) ?
The limit as x approaches 7 of 1/(|7-x|) is infinity