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

The limit as x approaches 0 of arctan(1) is pi/4

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limit as x approaches 0 of arctan(1)

x \to 0 lim (arctan (1))

\frac{π}{4}

Decimal

0.78539 \dots

Solution steps

x \to 0 lim (arctan (1))

x \to a lim c = c

= 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}

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

x \to 0 lim (\frac{1}{x} - 2 csc (x))

θ \to 0 lim (sin (3 θ))

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

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

What is the limit as x approaches 0 of arctan(1) ?
The limit as x approaches 0 of arctan(1) is pi/4