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

The limit as x approaches-6 of (x^2+6)/(x-6) is -7/2

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

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

- \frac{7}{2}

Decimal Notation

- 3.5

Solution steps

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

Plug in the value

x = - 6

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

Simplify

\frac{( - 6 ) ^{2} + 6}{- 6 - 6} : - \frac{7}{2}

= - \frac{7}{2}

\frac{d}{d x} (e^{2 - 3 x})

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\frac{d}{d x} (sin^{- 3} (x))

\frac{d}{d x} ((1 + 8 x^{2}) (x - x^{2}))

\frac{d}{d x} (x + 3 y)

What is the limit as x approaches-6 of (x^2+6)/(x-6) ?
The limit as x approaches-6 of (x^2+6)/(x-6) is -7/2