What is the limit as x approaches 0-of x^2+1/x ?

The limit as x approaches 0-of x^2+1/x is -infinity

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limit as x approaches 0-of x^2+1/x

x \to 0 - lim (x^{2} + \frac{1}{x})

- \infty

Solution steps

x \to 0 - lim (x^{2} + \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^{2}) + x \to 0 - lim (\frac{1}{x})

x \to 0 - lim (x^{2}) = 0

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

= 0 - \infty

Apply Infinity Property:

c - \infty = - \infty

= - \infty

\frac{2}{1 - x ^{2}}

\int \frac{1}{4 e ^{- 6 x} + e ^{6 x}} d x

g (t) = \frac{3}{t ^{2}}

x \to 2 lim (5 x + 3)

\frac{d y}{d x} = x

What is the limit as x approaches 0-of x^2+1/x ?
The limit as x approaches 0-of x^2+1/x is -infinity