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

The limit as x approaches 2 of (x-2)/(3x-6) is 1/3

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

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

\frac{1}{3}

Decimal Notation

0.33333 \dots

Solution steps

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

\frac{x - 2}{3 x - 6} = \frac{1}{3}

= x \to 2 lim (\frac{1}{3})

x \to a lim c = c

= \frac{1}{3}

x \to 7 lim (\frac{[ x ] - x}{x - 7})

x \to - 9 lim (x^{2})

x \to 2 lim (- 1 + 2)

x \to 8 lim (1 + - 2 x)

x \to 1 lim (\frac{( x + 2 ) ^{2} - 4}{x})

What is the limit as x approaches 2 of (x-2)/(3x-6) ?
The limit as x approaches 2 of (x-2)/(3x-6) is 1/3