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

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

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

x \to 7 lim (\frac{∣ 7 - x ∣}{7 - x})

diverges

Solution steps

x \to 7 lim (\frac{∣ 7 - x ∣}{7 - x})

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

then the limit does not exist

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

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

= diverges

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

\int \frac{e ^{2 x}}{1 - e ^{2 x}} d x

\frac{d}{d x} (arcsin (sec (x)))

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