What is the limit as w approaches-2 of (w+2)/(w^2-6w-16) ?

The limit as w approaches-2 of (w+2)/(w^2-6w-16) is -1/10

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limit as w approaches-2 of (w+2)/(w^2-6w-16)

w \to - 2 lim (\frac{w + 2}{w ^{2} - 6 w - 16})

- \frac{1}{10}

Decimal

- 0.1

Solution steps

w \to - 2 lim (\frac{w + 2}{w ^{2} - 6 w - 16})

Simplify

\frac{w + 2}{w ^{2} - 6 w - 16} : \frac{1}{w - 8}

= w \to - 2 lim (\frac{1}{w - 8})

Plug in the value

w = - 2

= \frac{1}{- 2 - 8}

Simplify

= - \frac{1}{10}

What is the limit as w approaches-2 of (w+2)/(w^2-6w-16) ?
The limit as w approaches-2 of (w+2)/(w^2-6w-16) is -1/10