What is the limit as x approaches 0-of (|x-7|)/(x-7) ?

The limit as x approaches 0-of (|x-7|)/(x-7) is -1

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limit as x approaches 0-of (|x-7|)/(x-7)

x \to 0 - lim (\frac{∣ x - 7 ∣}{x - 7})

- 1

Solution steps

x \to 0 - lim (\frac{∣ x - 7 ∣}{x - 7})

Plug in the value

x = 0

= \frac{∣ 0 - 7 ∣}{0 - 7}

Simplify

\frac{∣ 0 - 7 ∣}{0 - 7} : - 1

= - 1

y^{^{''}} + 8 y^{^{'}} + 16 y = 0, y (0) = 3, y^{^{'}} (0) = 8

8 3 x^{2} + 9

\frac{\partial}{\partial x} (42 e^{7 x} y)

f (x) = \frac{x}{x ^{2} + 64}

\int_{0}^{1} 2 π (2 - y) (4 - 4 y^{2}) d y

What is the limit as x approaches 0-of (|x-7|)/(x-7) ?
The limit as x approaches 0-of (|x-7|)/(x-7) is -1