What is the limit as x approaches 2 of 2x-1/x ?

The limit as x approaches 2 of 2x-1/x is 7/2

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limit as x approaches 2 of 2x-1/x

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

\frac{7}{2}

Decimal

3.5

Solution steps

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

Plug in the value

x = 2

= 2 \cdot 2 - \frac{1}{2}

Simplify

2 \cdot 2 - \frac{1}{2} : \frac{7}{2}

= \frac{7}{2}

What is the limit as x approaches 2 of 2x-1/x ?
The limit as x approaches 2 of 2x-1/x is 7/2