What is the limit as x approaches 2-of 3+|2x-4| ?

The limit as x approaches 2-of 3+|2x-4| is 3

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limit as x approaches 2-of 3+|2x-4|

x \to 2 - lim (3 + ∣ 2 x - 4 ∣)

3

Solution steps

x \to 2 - lim (3 + ∣ 2 x - 4 ∣)

Plug in the value

x = 2

= 3 + ∣ 2 \cdot 2 - 4 ∣

Simplify

3 + ∣ 2 \cdot 2 - 4 ∣ : 3

= 3

x \to 0 lim (1 - \frac{2}{x - 3})

x \to 0 lim (ln (1 + 2 x^{2}))

x \to - 2 lim (3 x^{3} - x - 1)

x \to 3 lim (15)

h \to 0 lim (\frac{( 2 + h ) ^{3} - 4}{h})

What is the limit as x approaches 2-of 3+|2x-4| ?
The limit as x approaches 2-of 3+|2x-4| is 3