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

The limit as x approaches-4 of (x^2-3)/(4-x) is 13/8

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limit as x approaches-4 of (x^2-3)/(4-x)

x \to - 4 lim (\frac{x ^{2} - 3}{4 - x})

\frac{13}{8}

Decimal Notation

1.625

Solution steps

x \to - 4 lim (\frac{x ^{2} - 3}{4 - x})

Plug in the value

x = - 4

= \frac{( - 4 ) ^{2} - 3}{4 - ( - 4 )}

Simplify

\frac{( - 4 ) ^{2} - 3}{4 - ( - 4 )} : \frac{13}{8}

= \frac{13}{8}

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What is the limit as x approaches-4 of (x^2-3)/(4-x) ?
The limit as x approaches-4 of (x^2-3)/(4-x) is 13/8