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

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

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

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

diverges

Solution steps

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

x \to a - lim f (x) \neq = x \to a + lim f (x)

then the limit does not exist

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

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

= diverges

x^{4} - 4 x^{2}, x^{2} - 4

y = ln (x^{2} x + 1)

x \to 8 - lim (\frac{1}{x - 8})

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

\int \frac{x}{x ^{4} + 2 x ^{2} + 2} d x

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