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

The limit as x approaches-2 of (4x-3)/(2-x) is -11/4

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

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

- \frac{11}{4}

Decimal Notation

- 2.75

Solution steps

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

Plug in the value

x = - 2

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

Simplify

\frac{4 ( - 2 ) - 3}{2 - ( - 2 )} : - \frac{11}{4}

= - \frac{11}{4}

x \to - \infty lim (x - 0)

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

x \to 4 lim (x^{4} + 3)

x \to 0 lim (\frac{e \frac{- 1}{x}}{x})

x \to 0 lim (\frac{1 - cos ( k x )}{x ^{2}})

What is the limit as x approaches-2 of (4x-3)/(2-x) ?
The limit as x approaches-2 of (4x-3)/(2-x) is -11/4