What is the limit as x approaches-2 of (5x-4)/(4-x) ?

The limit as x approaches-2 of (5x-4)/(4-x) is -7/3

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limit as x approaches-2 of (5x-4)/(4-x)

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

- \frac{7}{3}

Decimal Notation

- 2.33333 \dots

Solution steps

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

Plug in the value

x = - 2

= \frac{5 ( - 2 ) - 4}{4 - ( - 2 )}

Simplify

\frac{5 ( - 2 ) - 4}{4 - ( - 2 )} : - \frac{7}{3}

= - \frac{7}{3}

x \to 0 lim (\frac{1 - cos ( 4 x )}{x})

\int 6 y - x - 4 d y

x \to 2 lim (1 - x)

\int_{0}^{2} 6 x^{3} x^{2} + 4 d x

f (x) = - x^{2} + 2 x + 4, at x = 4

What is the limit as x approaches-2 of (5x-4)/(4-x) ?
The limit as x approaches-2 of (5x-4)/(4-x) is -7/3