What is the limit as x approaches-4 of (x^2-8)/(4-x) ?

The limit as x approaches-4 of (x^2-8)/(4-x) is 1

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limit as x approaches-4 of (x^2-8)/(4-x)

x \to - 4 lim (\frac{x ^{2} - 8}{4 - x})

1

Solution steps

x \to - 4 lim (\frac{x ^{2} - 8}{4 - x})

Plug in the value

x = - 4

= \frac{( - 4 ) ^{2} - 8}{4 - ( - 4 )}

Simplify

\frac{( - 4 ) ^{2} - 8}{4 - ( - 4 )} : 1

= 1

\frac{d}{d x} \frac{( 3 - e ^{\frac{1}{x}} )}{3 + e ^{\frac{1}{x}}}

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

f (x) = \frac{2}{x - 4}, (6, 1)

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

\frac{\partial}{\partial x} (tan (\frac{x y}{z ^{2}}))

What is the limit as x approaches-4 of (x^2-8)/(4-x) ?
The limit as x approaches-4 of (x^2-8)/(4-x) is 1