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

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

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

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

23

Decimal

3.46410 \dots

Solution steps

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

Plug in the value

y = 2

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

Simplify

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

= 23

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