What is the limit as x approaches-1 of (6x+5)/(5x-6) ?

The limit as x approaches-1 of (6x+5)/(5x-6) is 1/11

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limit as x approaches-1 of (6x+5)/(5x-6)

x \to - 1 lim (\frac{6 x + 5}{5 x - 6})

\frac{1}{11}

Decimal

0.09090 \dots

Solution steps

x \to - 1 lim (\frac{6 x + 5}{5 x - 6})

Plug in the value

x = - 1

= \frac{6 ( - 1 ) + 5}{5 ( - 1 ) - 6}

Simplify

\frac{6 ( - 1 ) + 5}{5 ( - 1 ) - 6} : \frac{1}{11}

= \frac{1}{11}

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What is the limit as x approaches-1 of (6x+5)/(5x-6) ?
The limit as x approaches-1 of (6x+5)/(5x-6) is 1/11