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

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

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limit as X approaches infinity of arctan(X)

X \to \infty lim (arctan (X))

\frac{π}{2}

Decimal Notation

1.57079 \dots

Solution steps

X \to \infty lim (arctan (X))

Apply the common limit:

X \to \infty lim (arctan (X)) = \frac{π}{2}

= \frac{π}{2}

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