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

The limit as x approaches-6 of (x^2-4)/(6-x) is 8/3

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

x \to - 6 lim (\frac{x ^{2} - 4}{6 - x})

\frac{8}{3}

Decimal Notation

2.66666 \dots

Solution steps

x \to - 6 lim (\frac{x ^{2} - 4}{6 - x})

Plug in the value

x = - 6

= \frac{( - 6 ) ^{2} - 4}{6 - ( - 6 )}

Simplify

\frac{( - 6 ) ^{2} - 4}{6 - ( - 6 )} : \frac{8}{3}

= \frac{8}{3}

\int 2 t - 1 d t

4 x + 9

\int (4 x - 3)^{5} d x

\int cos (n wt) d t

y^{^{''}} + 9 y = 3 sin (3 t)

What is the limit as x approaches-6 of (x^2-4)/(6-x) ?
The limit as x approaches-6 of (x^2-4)/(6-x) is 8/3