What is the limit as x approaches 2-of (|x-x|)/(x-2) ?

The limit as x approaches 2-of (|x-x|)/(x-2) is 0

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limit as x approaches 2-of (|x-x|)/(x-2)

x \to 2 - lim (\frac{∣ x - x ∣}{x - 2})

0

Solution steps

x \to 2 - lim (\frac{∣ x - x ∣}{x - 2})

x - x

is positive when

x \to 2 -

. Therefore

∣ x - x ∣ = x - x

= x \to 2 - lim (\frac{x - x}{x - 2})

Simplify

= x \to 2 - lim (0)

x \to a lim c = c

= 0

\frac{d}{d x} (tan (3 x) s c^{3} x)

\int \frac{1}{x 1 - 4 x ^{2}} d x

f (x) = \frac{x ^{4}}{4} - 2 x^{2} - 4

x^{2} - 2 x + 4

f (x) = 4 x^{\frac{5}{4}} + 6 x^{\frac{3}{2}} + 3 x

What is the limit as x approaches 2-of (|x-x|)/(x-2) ?
The limit as x approaches 2-of (|x-x|)/(x-2) is 0