What is the limit as x approaches 0 of arctan(5/x) ?

The limit as x approaches 0 of arctan(5/x) is diverges

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limit as x approaches 0 of arctan(5/x)

x \to 0 lim (arctan (\frac{5}{x}))

diverges

Solution steps

x \to 0 lim (arctan (\frac{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 (arctan (\frac{5}{x})) = \frac{π}{2}

x \to 0 - lim (arctan (\frac{5}{x})) = - \frac{π}{2}

= diverges

\int 6 cos (x) d x

f (x) = 8 - x

x y^{^{'}} - y = 2 x^{2} y

y^{^{''}} + 18 y^{^{'}} + 81 y = t^{- 2} e^{- 9 t}

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

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