What is the limit as x approaches-2 of (2x-3)/(x-4) ?

The limit as x approaches-2 of (2x-3)/(x-4) is 7/6

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limit as x approaches-2 of (2x-3)/(x-4)

x \to - 2 lim (\frac{2 x - 3}{x - 4})

\frac{7}{6}

Decimal Notation

1.16666 \dots

Solution steps

x \to - 2 lim (\frac{2 x - 3}{x - 4})

Plug in the value

x = - 2

= \frac{2 ( - 2 ) - 3}{- 2 - 4}

Simplify

\frac{2 ( - 2 ) - 3}{- 2 - 4} : \frac{7}{6}

= \frac{7}{6}

x \to - 2 lim (\frac{3 - 5 x}{4 x})

h \to 0 lim (\frac{∣ x h ∣}{h})

x \to 1 lim (I n x)

n \to \infty lim (2 + \frac{1}{n})

0 \to 0 lim (\frac{sin ( 0 )}{0})

What is the limit as x approaches-2 of (2x-3)/(x-4) ?
The limit as x approaches-2 of (2x-3)/(x-4) is 7/6