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

Popular >

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

x \to 0 + lim (x^{x} - 1)

\frac{d}{d x} (- 2 e^{- x} x)

sin (4 x)

\frac{\partial}{\partial x} (\frac{1}{3 x})

x \to 1 + lim ((x - 1) ∣ x - 1 ∣)

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