What is the limit as x approaches infinity of arctan(4x) ?

The limit as x approaches infinity of arctan(4x) is pi/2

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limit as x approaches infinity of arctan(4x)

x \to \infty lim (arctan (4 x))

\frac{π}{2}

Decimal

1.57079 \dots

Solution steps

x \to \infty lim (arctan (4 x))

Apply the Limit Chain Rule:

\frac{π}{2}

= \frac{π}{2}

What is the limit as x approaches infinity of arctan(4x) ?
The limit as x approaches infinity of arctan(4x) is pi/2