What is the limit as x approaches 0-of arctan(1/x) ?

The limit as x approaches 0-of arctan(1/x) is -pi/2

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limit as x approaches 0-of arctan(1/x)

x \to 0 - lim (arctan (\frac{1}{x}))

- \frac{π}{2}

Decimal Notation

- 1.57079 \dots

Solution steps

x \to 0 - lim (arctan (\frac{1}{x}))

Apply the Limit Chain Rule:

- \frac{π}{2}

= - \frac{π}{2}

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

\int_{0}^{P} \frac{1}{M - P} d P

(1) (0.3)

\int_{- 1}^{1} x^{3} (1 + x^{4})^{3} d x

f (x) = 8 + 5 x^{2} - 2 x^{3}, (1, 11)

What is the limit as x approaches 0-of arctan(1/x) ?
The limit as x approaches 0-of arctan(1/x) is -pi/2