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

The limit as x approaches 0 of arctan(x) is 0

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limit as x approaches 0 of arctan(x)

x \to 0 lim (arctan (x))

0

Solution steps

x \to 0 lim (arctan (x))

Plug in the value

x = 0

= arctan (0)

Use the following trivial identity:

arctan (0) = 0

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}

= 0

\frac{s - 1}{s ^{2} - 2 s + 1}

\frac{\partial}{\partial y} (ln (x + 6 y + 5 z))

\int \frac{10}{( x + 1 ) ( x ^{2} + 9 ) ^{2}} d x

x \to 8 - lim (\frac{x - 8}{∣ x - 8 ∣})

\frac{d}{d x} (2 (4 - 9 x)^{4})

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