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

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

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

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

\frac{7}{16}

Decimal Notation

0.4375

Solution steps

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

Simplify

\frac{x ^{2} + 7 x}{x ^{2} - 2 x - 63} : \frac{x}{x - 9}

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

Plug in the value

x = - 7

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

Simplify

= \frac{7}{16}

x \to 0 lim (csc (x) sin (sin (x)))

t \to \infty lim (\frac{ln ( 3 t )}{t ^{2}})

x \to 0 lim (2 x + 3)

x \to 1 lim (x^{2} + 2 x + 5)

x \to 0 lim (x^{2} + 3 x)

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