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{d y}{d x} = (y - 1)^{2}

\frac{1}{( 1 - x )}

\int sin (x) cos^{4} (d) x d x

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