What is the limit as x approaches 0 of (x^2-5)/x ?

The limit as x approaches 0 of (x^2-5)/x is diverges

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limit as x approaches 0 of (x^2-5)/x

x \to 0 lim (\frac{x ^{2} - 5}{x})

diverges

Solution steps

x \to 0 lim (\frac{x ^{2} - 5}{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} - 5}{x}) = - \infty

x \to 0 - lim (\frac{x ^{2} - 5}{x}) = \infty

= diverges

t \to - 2 lim (t^{2} + 5 t + 7)

\int tan^{3} (\frac{x}{2}) sec^{3} (\frac{x}{2}) d x

f^{^{'}} (x) = \frac{2 x ^{2} - 9 x + 8}{6 x + 5}

\int r^{3} + 2 r d r

\frac{d}{d t} (2 cos^{2} (t))

What is the limit as x approaches 0 of (x^2-5)/x ?
The limit as x approaches 0 of (x^2-5)/x is diverges