What is the limit as x approaches 0-of x+4/(x^2) ?

The limit as x approaches 0-of x+4/(x^2) is infinity

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limit as x approaches 0-of x+4/(x^2)

x \to 0 - lim (x + \frac{4}{x ^{2}})

\infty

Solution steps

x \to 0 - lim (x + \frac{4}{x ^{2}})

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{4}{x ^{2}})

x \to 0 - lim (x) = 0

x \to 0 - lim (\frac{4}{x ^{2}}) = \infty

= 0 + \infty

Apply Infinity Property:

c + \infty = \infty

= \infty

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

x \to a lim (f (x) g (x))

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

x \to \infty lim (\frac{x}{θ})

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

What is the limit as x approaches 0-of x+4/(x^2) ?
The limit as x approaches 0-of x+4/(x^2) is infinity