What is the limit as x approaches 1 of (2x)/(6x-10) ?

The limit as x approaches 1 of (2x)/(6x-10) is -1/2

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limit as x approaches 1 of (2x)/(6x-10)

x \to 1 lim (\frac{2 x}{6 x - 10})

- \frac{1}{2}

Decimal Notation

- 0.5

Solution steps

x \to 1 lim (\frac{2 x}{6 x - 10})

Plug in the value

x = 1

= \frac{2 \cdot 1}{6 \cdot 1 - 10}

Simplify

\frac{2 \cdot 1}{6 \cdot 1 - 10} : - \frac{1}{2}

= - \frac{1}{2}

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What is the limit as x approaches 1 of (2x)/(6x-10) ?
The limit as x approaches 1 of (2x)/(6x-10) is -1/2