What is the limit as x approaches-6 of (x^2-9)/(6-x) ?

The limit as x approaches-6 of (x^2-9)/(6-x) is 9/4

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limit as x approaches-6 of (x^2-9)/(6-x)

x \to - 6 lim (\frac{x ^{2} - 9}{6 - x})

\frac{9}{4}

Decimal Notation

2.25

Solution steps

x \to - 6 lim (\frac{x ^{2} - 9}{6 - x})

Plug in the value

x = - 6

= \frac{( - 6 ) ^{2} - 9}{6 - ( - 6 )}

Simplify

\frac{( - 6 ) ^{2} - 9}{6 - ( - 6 )} : \frac{9}{4}

= \frac{9}{4}

\int (x + 4)^{9} d x

f (t) = e^{t} \cdot sin (t)

\frac{d y}{d x} = 4 y (8 - y)

\int \frac{1}{( 4 x - 5 ) ^{2}} d x

n = 1 \sum \infty (1 + \frac{5}{n})^{n}

What is the limit as x approaches-6 of (x^2-9)/(6-x) ?
The limit as x approaches-6 of (x^2-9)/(6-x) is 9/4