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

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

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limit as x approaches 0 of arctan(2/x)

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

diverges

Solution steps

x \to 0 lim (arctan (\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 (arctan (\frac{2}{x})) = \frac{π}{2}

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

= diverges

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

x \to - 2 lim (- 1)

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

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

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

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