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Popular >

limit as x approaches 0 of |x-2|

Solution

x \to 0 lim (∣ x - 2 ∣)

Solution

2

Solution steps

x \to 0 lim (∣ x - 2 ∣)

Plug in the value

x = 0

= ∣ 0 - 2 ∣

Simplify

∣ 0 - 2 ∣ : 2

= 2

Graph

Popular Examples

limit as x approaches 3 of x^2+9x-27

x \to 3 lim (x^{2} + 9 x - 27)

limit as x approaches infinity of (sqrt(v^2+1))/(\sqrt[3]{v^3-3)}

x \to \infty lim (\frac{v ^{2} + 1}{3 v ^{3} - 3})

limit as x approaches-infinity of (2x^2)/(x^3-2sqrt(x))

x \to - \infty lim (\frac{2 x ^{2}}{x ^{3} - 2 x})

limit as x approaches 1 of (1-x)/x

x \to 1 lim (\frac{1 - x}{x})

limit as x approaches pi+of 2csc(2x)

x \to π + lim (2 csc (2 x))

Frequently Asked Questions (FAQ)

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