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

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

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

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

- 1

Solution steps

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

x - 7

is negative when

x \to 7 -

. Therefore

∣ x - 7 ∣ = - x + 7

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

\frac{- x + 7}{x - 7} = - 1

= x \to 7 - lim (- 1)

x \to a lim c = c

= - 1

f (x) = 3 x + 4

\frac{d}{d x} (cos^{9} (x^{2} y^{6}))

14 x

x y^{3} + x y = 2, (1, 1)

f (x) = \frac{4}{x ^{2}}, at x = 1

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