What is the limit as x approaches-2+of (1-x)/(x^3+8) ?

The limit as x approaches-2+of (1-x)/(x^3+8) is infinity

Popular >

limit as x approaches-2+of (1-x)/(x^3+8)

x \to - 2 + lim (\frac{1 - x}{x ^{3} + 8})

\infty

Solution steps

x \to - 2 + lim (\frac{1 - x}{x ^{3} + 8})

\frac{1 - x}{x ^{3} + 8} = (1 - x) \frac{1}{x ^{3} + 8}

= x \to - 2 + lim ((1 - x) \frac{1}{x ^{3} + 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 - 2 + lim (1 - x) \cdot x \to - 2 + lim (\frac{1}{x ^{3} + 8})

x \to - 2 + lim (1 - x) = 3

x \to - 2 + lim (\frac{1}{x ^{3} + 8}) = \infty

= 3 \cdot \infty

Apply Infinity Property:

c \cdot \infty = \infty

= \infty

x \to 1 - lim (\frac{2}{x - 1})

\frac{\partial}{\partial x} ((3 x^{2} + y) e^{x y^{2}})

(e^{2 t} - e^{t} + t)^{2}

2 x^{2} - 7 x - 195

\int - cos (\frac{π t}{4}) d t

What is the limit as x approaches-2+of (1-x)/(x^3+8) ?
The limit as x approaches-2+of (1-x)/(x^3+8) is infinity