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

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

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limit as x approaches 0+of x-1/x

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

- \infty

Solution steps

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

x \to 0 + lim (x) = 0

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

= 0 - \infty

Apply Infinity Property:

c - \infty = - \infty

= - \infty

h \to 0 lim (\frac{e ^{ah} - 1}{h})

y^{^{'}} = 3 - cos (x)

\frac{d}{d x} (e^{(\frac{1}{x}) (l n (1 - 2 x))})

\int \frac{10}{4 x ^{3} - 4 x ^{2} + 5 x} d x

\frac{d}{d x} (\frac{1}{4} x^{2} - 2 x - y)

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