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

The limit as x approaches-4 of (x^2-6)/(4-x) is 5/4

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limit as x approaches-4 of (x^2-6)/(4-x)

x \to - 4 lim (\frac{x ^{2} - 6}{4 - x})

\frac{5}{4}

Decimal Notation

1.25

Solution steps

x \to - 4 lim (\frac{x ^{2} - 6}{4 - x})

Plug in the value

x = - 4

= \frac{( - 4 ) ^{2} - 6}{4 - ( - 4 )}

Simplify

\frac{( - 4 ) ^{2} - 6}{4 - ( - 4 )} : \frac{5}{4}

= \frac{5}{4}

\frac{d}{d x} ((x^{3} + 3 x) (2 x + 4))

\int y y d y

\frac{d y}{d x} = x (5 - y)

x \to \infty lim (\frac{3}{x})

n = 0 \sum \infty 1 - (\frac{2}{3})^{n}

What is the limit as x approaches-4 of (x^2-6)/(4-x) ?
The limit as x approaches-4 of (x^2-6)/(4-x) is 5/4