What is the limit as x approaches 1/2 of (6x-1)/x ?

The limit as x approaches 1/2 of (6x-1)/x is 4

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limit as x approaches 1/2 of (6x-1)/x

x \to \frac{1}{2} lim (\frac{6 x - 1}{x})

4

Solution steps

x \to \frac{1}{2} lim (\frac{6 x - 1}{x})

Plug in the value

x = \frac{1}{2}

= \frac{6 \cdot \frac{1}{2} - 1}{\frac{1}{2}}

Simplify

\frac{6 \cdot \frac{1}{2} - 1}{\frac{1}{2}} : 4

= 4

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What is the limit as x approaches 1/2 of (6x-1)/x ?
The limit as x approaches 1/2 of (6x-1)/x is 4