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

The limit as x approaches 1 of arctan(1/x) is pi/4

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

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

\frac{π}{4}

Decimal Notation

0.78539 \dots

Solution steps

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

Plug in the value

x = 1

= arctan (\frac{1}{1})

Simplify

arctan (\frac{1}{1}) : \frac{π}{4}

= \frac{π}{4}

x \to 0 lim ((1 + \frac{x}{3})^{2})

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

x \to 0 lim (arctan (0))

x \to \infty lim (+ x + x)

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

What is the limit as x approaches 1 of arctan(1/x) ?
The limit as x approaches 1 of arctan(1/x) is pi/4