What is the limit as x approaches-7 of (x^2-5)/(7-x) ?

The limit as x approaches-7 of (x^2-5)/(7-x) is 22/7

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limit as x approaches-7 of (x^2-5)/(7-x)

x \to - 7 lim (\frac{x ^{2} - 5}{7 - x})

\frac{22}{7}

Decimal Notation

3.14285 \dots

Solution steps

x \to - 7 lim (\frac{x ^{2} - 5}{7 - x})

Plug in the value

x = - 7

= \frac{( - 7 ) ^{2} - 5}{7 - ( - 7 )}

Simplify

\frac{( - 7 ) ^{2} - 5}{7 - ( - 7 )} : \frac{22}{7}

= \frac{22}{7}

\int \frac{cos ( x )}{sin ( x ) + cos ( x )} d x

\frac{d}{d x} ((1 + 3 x)^{\frac{1}{2 x}})

\frac{( 3 y ^{2} - t ^{2} )}{y ^{5}} (\frac{d y}{d t}) + \frac{t}{2 y ^{4}} = 0

x, at x = 9

\frac{\partial}{\partial y} (4 y)

What is the limit as x approaches-7 of (x^2-5)/(7-x) ?
The limit as x approaches-7 of (x^2-5)/(7-x) is 22/7