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

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

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

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

diverges

Solution steps

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

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

= diverges

f (x) = arccos (\frac{x}{2})

\frac{d}{d y} (x y + y)

(- 5, 5), (3, - 4)

\int (ln (x^{3}))^{2} d x

5 y^{^{'}} + 45 y = 9

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