What is the limit as w approaches-k of (w^2+9kw+8k^2)/(w^2+kw) ?

The limit as w approaches-k of (w^2+9kw+8k^2)/(w^2+kw) is -7

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limit as w approaches-k of (w^2+9kw+8k^2)/(w^2+kw)

w \to - k lim (\frac{w ^{2} + 9 k w + 8 k ^{2}}{w ^{2} + k w})

- 7

Solution steps

w \to - k lim (\frac{w ^{2} + 9 k w + 8 k ^{2}}{w ^{2} + k w})

Simplify

\frac{w ^{2} + 9 k w + 8 k ^{2}}{w ^{2} + k w} : \frac{w + 8 k}{w}

= w \to - k lim (\frac{w + 8 k}{w})

Plug in the value

w = - k

= \frac{- k + 8 k}{- k}

Simplify

\frac{- k + 8 k}{- k} : - 7

= - 7

\int arctan (2 x) d x

\int e^{- x} \cdot (2 - x) d x

y = \frac{1}{x}, y = \frac{3}{x}, y = x, y = 2 x

\frac{d ^{2}}{d y d x} (sin (x^{2} + y^{2}))

What is the limit as w approaches-k of (w^2+9kw+8k^2)/(w^2+kw) ?
The limit as w approaches-k of (w^2+9kw+8k^2)/(w^2+kw) is -7