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

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

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limit as x approaches infinity of arctan(ln(x))

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

\frac{π}{2}

Decimal Notation

1.57079 \dots

Solution steps

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

Apply the Limit Chain Rule:

\frac{π}{2}

= \frac{π}{2}

\frac{d ^{3}}{d x ^{3}} (\frac{6}{x})

\int \frac{e ^{x}}{1 + 2 e ^{x}} d x

4 x^{\frac{5}{4}} + 8 x^{\frac{3}{2}} + 10 x

\frac{\partial}{\partial x} (e^{t - x})

t y^{^{'}} - 2 y = t^{4}

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