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

The limit as x approaches 2 of (2x^2)/x is 4

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limit as x approaches 2 of (2x^2)/x

x \to 2 lim (\frac{2 x ^{2}}{x})

4

Solution steps

x \to 2 lim (\frac{2 x ^{2}}{x})

Plug in the value

x = 2

= \frac{2 \cdot 2 ^{2}}{2}

Simplify

\frac{2 \cdot 2 ^{2}}{2} : 4

= 4

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What is the limit as x approaches 2 of (2x^2)/x ?
The limit as x approaches 2 of (2x^2)/x is 4