What is the limit as x approaches-7 of (x^2-3)/(7-x) ?

The limit as x approaches-7 of (x^2-3)/(7-x) is 23/7

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limit as x approaches-7 of (x^2-3)/(7-x)

x \to - 7 lim (\frac{x ^{2} - 3}{7 - x})

\frac{23}{7}

Decimal Notation

3.28571 \dots

Solution steps

x \to - 7 lim (\frac{x ^{2} - 3}{7 - x})

Plug in the value

x = - 7

= \frac{( - 7 ) ^{2} - 3}{7 - ( - 7 )}

Simplify

\frac{( - 7 ) ^{2} - 3}{7 - ( - 7 )} : \frac{23}{7}

= \frac{23}{7}

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\frac{d}{d x} (100 + x^{2})

What is the limit as x approaches-7 of (x^2-3)/(7-x) ?
The limit as x approaches-7 of (x^2-3)/(7-x) is 23/7