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

\int \frac{x ^{4}}{4 + x ^{2}} d x

\int_{- 2}^{3} x - 4 ∣ x ∣ d x

\frac{1}{x ^{2}}

\frac{d}{d x} (x^{3} - 21 x^{2} + 144 x)

\frac{d}{d x} (6^{3 x - 4})

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