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

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

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

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

2

Solution steps

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

Plug in the value

x = - 4

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

Simplify

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

= 2

y^{^{''}} - 2 y^{^{'}} - 3 y = 4 e^{- x}, y (0) = 4, y^{^{'}} (0) = - 1

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