What is the limit as x approaches 0-of 1/x-1/(-x) ?

The limit as x approaches 0-of 1/x-1/(-x) is -infinity

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limit as x approaches 0-of 1/x-1/(-x)

x \to 0 - lim (\frac{1}{x} - \frac{1}{- x})

- \infty

Solution steps

x \to 0 - lim (\frac{1}{x} - \frac{1}{- 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{1}{x}) - x \to 0 - lim (\frac{1}{- x})

x \to 0 - lim (\frac{1}{x}) = - \infty

x \to 0 - lim (\frac{1}{- x}) = \infty

= - \infty - \infty

Apply Infinity Property:

- \infty - \infty = - \infty

= - \infty

f (x) = x^{3} - 9 x^{2} - 21 x + 3

\int_{1}^{3} 21 r^{3} ln (r) d r

\int_{0}^{7} ∣ 2 x - 7 ∣ d x

cos (x) - x^{2}, 1

x \to 9 lim (- \frac{5}{( x ^{3} )})

What is the limit as x approaches 0-of 1/x-1/(-x) ?
The limit as x approaches 0-of 1/x-1/(-x) is -infinity