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

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

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

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

- 2

Solution steps

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

Plug in the value

x = 2

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

Simplify

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

= - 2

t e^{8 t}

x \to 9 - lim (\frac{5 x}{x - 9})

\frac{d}{d x} (- 4 x^{4} + 8 x^{3})

\frac{( 3 s + 1 )}{s ( s + 2 )}

y^{^{'}} - \frac{6}{x} y = \frac{( y ^{5} )}{x ^{18}}, y (1) = 1

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