What is the limit as x approaches 0 of arctan(3x) ?

The limit as x approaches 0 of arctan(3x) is 0

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limit as x approaches 0 of arctan(3x)

x \to 0 lim (arctan (3 x))

0

Solution steps

x \to 0 lim (arctan (3 x))

Plug in the value

x = 0

= arctan (3 \cdot 0)

Simplify

arctan (3 \cdot 0) : 0

= 0

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What is the limit as x approaches 0 of arctan(3x) ?
The limit as x approaches 0 of arctan(3x) is 0