What is the limit as x approaches 0 of arctan(6x) ?

The limit as x approaches 0 of arctan(6x) is 0

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limit as x approaches 0 of arctan(6x)

x \to 0 lim (arctan (6 x))

0

Solution steps

x \to 0 lim (arctan (6 x))

Plug in the value

x = 0

= arctan (6 \cdot 0)

Simplify

arctan (6 \cdot 0) : 0

= 0

x \to - 3 lim (5 - x)

\frac{d}{d y} (\frac{1}{x + y})

\frac{d}{d x} ((- 2 + x^{2})^{- 1})

25 y^{^{''}} + 80 y^{^{'}} + 64 y = 0

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What is the limit as x approaches 0 of arctan(6x) ?
The limit as x approaches 0 of arctan(6x) is 0