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

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

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

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

- \infty

Solution steps

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

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

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

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

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

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

= (- 1) \cdot \infty

Apply Infinity Property:

- c \cdot \infty = - \infty

= - \infty

\frac{d}{d x} (e^{- a ∣ x ∣})

\int \frac{2 x}{( x ^{2} + 1 ) ^{90}} d x

f (8) = 2 (x - 5)

h \to c lim (h^{3} + 4 h^{2} - 3)

\frac{d}{d x} (\frac{x ^{3}}{3} + 3 x^{2} - 7 x)

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