What is the limit as x approaches 0-of 8/x-8/(|x|) ?

The limit as x approaches 0-of 8/x-8/(|x|) is -infinity

Popular >

limit as x approaches 0-of 8/x-8/(|x|)

x \to 0 - lim (\frac{8}{x} - \frac{8}{∣ x ∣})

- \infty

Solution steps

x \to 0 - lim (\frac{8}{x} - \frac{8}{∣ x ∣})

x

is negative when

x \to 0 -

. Therefore

∣ x ∣ = - x

= x \to 0 - lim (\frac{8}{x} - \frac{8}{- x})

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

With the exception of indeterminate form

= x \to 0 - lim (\frac{8}{x}) - x \to 0 - lim (\frac{8}{- x})

x \to 0 - lim (\frac{8}{x}) = - \infty

x \to 0 - lim (\frac{8}{- x}) = \infty

= - \infty - \infty

Apply Infinity Property:

- \infty - \infty = - \infty

= - \infty

\int \frac{x - 2 x ^{2}}{x} d x

\int arccos (y) d y

\int_{- 2}^{3} 2 x^{2} + 5 d x

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

\frac{d}{d x} (cot^{3} (π - x))

What is the limit as x approaches 0-of 8/x-8/(|x|) ?
The limit as x approaches 0-of 8/x-8/(|x|) is -infinity