What is the limit as x approaches 0 of arctan(1/x) ?

The limit as x approaches 0 of arctan(1/x) is diverges

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limit as x approaches 0 of arctan(1/x)

x \to 0 lim (arctan (\frac{1}{x}))

diverges

Solution steps

x \to 0 lim (arctan (\frac{1}{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{1}{x})) = \frac{π}{2}

x \to 0 - lim (arctan (\frac{1}{x})) = - \frac{π}{2}

= diverges

\int \frac{x ^{2} + 2}{x ^{3} ( x + 1 ) ^{3}} d x

\frac{1}{( 1 - 7 x )}, - 6 < x < 0

\frac{\partial}{\partial x} (4 x^{- x^{2} - y^{2} - z^{2}})

\int 7.9 t - 16.6 d t

\frac{d}{d x} (\frac{1}{( 1 - 2 x ) ^{\frac{3}{2}}})

What is the limit as x approaches 0 of arctan(1/x) ?
The limit as x approaches 0 of arctan(1/x) is diverges