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

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

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

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

diverges

Solution steps

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

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

= diverges

x \to 0 lim (\frac{1 - cos ( 4 x )}{1 - cos ( 6 x )})

x \to 2 lim (\frac{1}{( x - 1 ) ^{4} + 2})

x \to 2 lim (- x + 1)

x \to 4 lim (\frac{x ^{2} - 3 x - 4}{2 x + 1})

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

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