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

x \to 0 lim (x sin (\frac{8 π}{x}))

\frac{d}{d x} (x cos (x^{3}))

x \to 0 + lim ((\frac{1}{x})^{x})

sin (arccos (t))

\int \frac{1}{1 - 49 x ^{2}} d x

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