What is the limit as x approaches 0 of (x^2-6)/x ?

The limit as x approaches 0 of (x^2-6)/x is diverges

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limit as x approaches 0 of (x^2-6)/x

x \to 0 lim (\frac{x ^{2} - 6}{x})

diverges

Solution steps

x \to 0 lim (\frac{x ^{2} - 6}{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} - 6}{x}) = - \infty

x \to 0 - lim (\frac{x ^{2} - 6}{x}) = \infty

= diverges

f (x) = \frac{x}{1 + x ^{2}}, (2, \frac{2}{5})

5 x + 11

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

x \to 0 lim (\frac{( x + 64 ) ^{\frac{1}{3}} - 4}{x})

What is the limit as x approaches 0 of (x^2-6)/x ?
The limit as x approaches 0 of (x^2-6)/x is diverges