What is the limit as x approaches a of (x-1)/(3x+6) ?

The limit as x approaches a of (x-1)/(3x+6) is (a-1)/(3a+6)

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limit as x approaches a of (x-1)/(3x+6)

x \to a lim (\frac{x - 1}{3 x + 6})

\frac{a - 1}{3 a + 6}

Solution steps

x \to a lim (\frac{x - 1}{3 x + 6})

Plug in the value

x = a

= \frac{a - 1}{3 a + 6}

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What is the limit as x approaches a of (x-1)/(3x+6) ?
The limit as x approaches a of (x-1)/(3x+6) is (a-1)/(3a+6)