What is the limit as x approaches 3 of (2x-6)/(3-x) ?

The limit as x approaches 3 of (2x-6)/(3-x) is -2

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limit as x approaches 3 of (2x-6)/(3-x)

x \to 3 lim (\frac{2 x - 6}{3 - x})

- 2

Solution steps

x \to 3 lim (\frac{2 x - 6}{3 - x})

\frac{2 x - 6}{3 - x} = - 2

= x \to 3 lim (- 2)

x \to a lim c = c

= - 2

What is the limit as x approaches 3 of (2x-6)/(3-x) ?
The limit as x approaches 3 of (2x-6)/(3-x) is -2