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

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

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limit as x approaches 0 of arctan(0)

x \to 0 lim (arctan (0))

0

Solution steps

x \to 0 lim (arctan (0))

x \to a lim c = c

= 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

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