What is the limit as x approaches 7 of (x^2-5x-14)/(x-7) ?

The limit as x approaches 7 of (x^2-5x-14)/(x-7) is 9

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limit as x approaches 7 of (x^2-5x-14)/(x-7)

x \to 7 lim (\frac{x ^{2} - 5 x - 14}{x - 7})

9

Solution steps

x \to 7 lim (\frac{x ^{2} - 5 x - 14}{x - 7})

Simplify

\frac{x ^{2} - 5 x - 14}{x - 7} : x + 2

= x \to 7 lim (x + 2)

Plug in the value

x = 7

= 7 + 2

Simplify

= 9

\int_{1}^{e} \frac{x ^{2} - 1}{x} d x

y^{^{''}} - 6 y^{^{'}} + 6 y = 0

\frac{\partial}{\partial x} (sin (x^{2} y))

\frac{d}{d x} (sin ((π x)^{5}))

(7.3) (6.7)

What is the limit as x approaches 7 of (x^2-5x-14)/(x-7) ?
The limit as x approaches 7 of (x^2-5x-14)/(x-7) is 9