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

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

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limit as x approaches 1 of arctan(x)

x \to 1 lim (arctan (x))

\frac{π}{4}

Decimal

0.78539 \dots

Solution steps

x \to 1 lim (arctan (x))

Plug in the value

x = 1

= arctan (1)

Use the following trivial identity:

arctan (1) = \frac{π}{4}

x 0 \frac{3}{3} 13 arctan (x) 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} arctan (x) 0^{\circ} 3 0^{\circ} 4 5^{\circ} 6 0^{\circ}

= \frac{π}{4}

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