What is the limit as x approaches 2 of sqrt(4x^2-2x) ?

The limit as x approaches 2 of sqrt(4x^2-2x) is 2sqrt(3)

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limit as x approaches 2 of sqrt(4x^2-2x)

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

23

Decimal Notation

3.46410 \dots

Solution steps

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

Plug in the value

x = 2

= 4 \cdot 2^{2} - 2 \cdot 2

Simplify

4 \cdot 2^{2} - 2 \cdot 2 : 23

= 23

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What is the limit as x approaches 2 of sqrt(4x^2-2x) ?
The limit as x approaches 2 of sqrt(4x^2-2x) is 2sqrt(3)