What is the limit as x approaches infinity of arctan(8x) ?

The limit as x approaches infinity of arctan(8x) is pi/2

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limit as x approaches infinity of arctan(8x)

x \to \infty lim (arctan (8 x))

\frac{π}{2}

Decimal Notation

1.57079 \dots

Solution steps

x \to \infty lim (arctan (8 x))

Apply the Limit Chain Rule:

\frac{π}{2}

= \frac{π}{2}

\int_{1}^{\infty} \frac{9}{x ^{4}} d x

\frac{\partial}{\partial x} ((x^{4} - 1) (x^{2} + 1))

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

x \to 2 + lim (2^{x} - 4)

x \to 1 + lim (ln^{x} (x))

What is the limit as x approaches infinity of arctan(8x) ?
The limit as x approaches infinity of arctan(8x) is pi/2