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

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

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limit as x approaches 0 of-2/x

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

diverges

Solution steps

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

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

= diverges

\frac{d}{d x} (\frac{1}{5 x - 1})

arcsin (x^{4})

f (x) = \frac{7}{x}

x \to \infty lim ((\frac{x - 3}{x - 4})^{- x})

\frac{d}{d x} (ln (sinh (5 x)))

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