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 Notation

1.57079 \dots

Solution steps

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

Apply the Limit Chain Rule:

\frac{π}{2}

= \frac{π}{2}

f (x) = ln (3 x + 4), (2, ln (10))

- 5 cos (3 t)

f (t) = 2 t^{3} + t

\frac{\partial}{\partial x} (\frac{x y}{x + y})

f (x) = ln (6 - x^{2})

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