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 positive when

x \to 7 +

. Therefore

∣ x - 7 ∣ = x - 7

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

Simplify

= x \to 7 + lim (1)

x \to a lim c = c

= 1

lo g_{3} (x^{3} + 1)

\frac{d}{d x} (\frac{x}{3})

y = 2 x, [4, 9]

\frac{d}{d x} ((3 x^{2} + 2 x - 1)^{4})

\frac{d}{d x} (x^{2} (x + 1) e^{k (x)})

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