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 Notation

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 \infty lim (\frac{- 5 x ^{2} + 20 x}{x ^{3} - 3 x ^{2} - 4 x})

x \to 0 lim (\frac{sin ( 5 x )}{tan ( x )})

x \to 0 - lim (x cot (π x))

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

x \to + 0 lim (x^{2} 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