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

The limit as x approaches-3 of (2x-1)/(x-3) is 7/6

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

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

\frac{7}{6}

Decimal

1.16666 \dots

Solution steps

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

Plug in the value

x = - 3

= \frac{2 ( - 3 ) - 1}{- 3 - 3}

Simplify

\frac{2 ( - 3 ) - 1}{- 3 - 3} : \frac{7}{6}

= \frac{7}{6}

x \to 2 lim (3 x^{2} - 6 x + 8)

x \to a lim (\frac{3 a x - 2 a + 2 x - 3 a ^{2}}{5 a x + a - 5 a ^{2} - x})

x \to 0 lim (sin (π))

t \to 0 lim (\frac{sin ( - 3 t )}{t})

x \to 0 - lim (x^{2} \cdot ln (- x))

What is the limit as x approaches-3 of (2x-1)/(x-3) ?
The limit as x approaches-3 of (2x-1)/(x-3) is 7/6