What is the limit as x approaches-7 of (x^2+16x+63)/(-63-2x+x^2) ?

The limit as x approaches-7 of (x^2+16x+63)/(-63-2x+x^2) is -1/8

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limit as x approaches-7 of (x^2+16x+63)/(-63-2x+x^2)

x \to - 7 lim (\frac{x ^{2} + 16 x + 63}{- 63 - 2 x + x ^{2}})

- \frac{1}{8}

Decimal

- 0.125

Solution steps

x \to - 7 lim (\frac{x ^{2} + 16 x + 63}{- 63 - 2 x + x ^{2}})

Simplify

\frac{x ^{2} + 16 x + 63}{- 63 - 2 x + x ^{2}} : \frac{x + 9}{x - 9}

= x \to - 7 lim (\frac{x + 9}{x - 9})

Plug in the value

x = - 7

= \frac{- 7 + 9}{- 7 - 9}

Simplify

\frac{- 7 + 9}{- 7 - 9} : - \frac{1}{8}

= - \frac{1}{8}

x \to - 1 lim (x^{3} + 2 x^{2} + 1)

x \to π lim (x - sin (x))

x \to - 3 lim (x^{2} - 9)

x \to 0 - lim (1 + csc (x))

x \to 0 lim (2 x ln (x) + x)

What is the limit as x approaches-7 of (x^2+16x+63)/(-63-2x+x^2) ?
The limit as x approaches-7 of (x^2+16x+63)/(-63-2x+x^2) is -1/8