What is the limit as x approaches 7-of ((x+8))/(x-7) ?

The limit as x approaches 7-of ((x+8))/(x-7) is -infinity

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limit as x approaches 7-of ((x+8))/(x-7)

x \to 7 - lim (\frac{( x + 8 )}{x - 7})

- \infty

Solution steps

x \to 7 - lim (\frac{x + 8}{x - 7})

\frac{x + 8}{x - 7} = (x + 8) \frac{1}{x - 7}

= x \to 7 - lim ((x + 8) \frac{1}{x - 7})

x \to a lim [f (x) \cdot g (x)] = x \to a lim f (x) \cdot x \to a lim g (x)

With the exception of indeterminate form

= x \to 7 - lim (x + 8) \cdot x \to 7 - lim (\frac{1}{x - 7})

x \to 7 - lim (x + 8) = 15

x \to 7 - lim (\frac{1}{x - 7}) = - \infty

= 15 (- \infty)

Apply Infinity Property:

c \cdot (- \infty) = - \infty

= - \infty

\int sin (2 x) \cdot cos (x) d x

\frac{d}{d x} (x^{3} - 3 x^{2} + 2 x)

\frac{\partial}{\partial x} (x^{3} y^{3} + y - z + 3)

\frac{\partial}{\partial x} (x^{7} y^{8} - x^{6} y^{7})

e^{- 2 t} sin (3 t)

What is the limit as x approaches 7-of ((x+8))/(x-7) ?
The limit as x approaches 7-of ((x+8))/(x-7) is -infinity