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

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

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

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

0

Solution steps

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

x

is positive when

x \to 7 -

. Therefore

∣ x ∣ = x

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

Simplify

= x \to 7 - lim (0)

x \to a lim c = c

= 0

x \to 2 lim (\frac{x - 4}{x ^{2} - 4})

x \to 0 lim (\frac{arcsin ( x ) - arctan ( x )}{x ^{3}})

x \to a lim (f (x) (x)^{n})

x \to - 6 lim (10 x + 1)

x \to 3 + lim (3 - x)

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