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

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

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

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

\frac{7}{4}

Solution steps

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

Plug in the value

x = - 4

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

Simplify

\frac{( - 4 ) ^{2} - 2}{4 - ( - 4 )} : \frac{7}{4}

= \frac{7}{4}

ln (5 x^{4})

\int \frac{x ^{2}}{4} d x

\frac{\partial}{\partial x} ((e^{2 y} - y cos (x y)) d x)

\int e^{x} 1 + e^{2 x} d x

y = x^{4^{x}}

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