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

The limit as x approaches+0+of arctan(ln(x)) is -pi/2

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limit as x approaches+0+of arctan(ln(x))

x \to + 0 + lim (arctan (ln (x)))

- \frac{π}{2}

Decimal

- 1.57079 \dots

Solution steps

x \to 0 + lim (arctan (ln (x)))

Apply the Limit Chain Rule:

- \frac{π}{2}

= - \frac{π}{2}

\frac{3 s + 7}{s ^{2} - 2 s - 3}

\frac{d}{d x} (ln (x e^{x} + 7))

\int_{0}^{2} \frac{1}{( x - 1 ) ^{\frac{1}{3}}} d x

\frac{d}{d y} (\frac{y ^{3}}{21} + \frac{7}{4 y})

f (x) = 8 x + ln (x^{2})

What is the limit as x approaches+0+of arctan(ln(x)) ?
The limit as x approaches+0+of arctan(ln(x)) is -pi/2