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

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

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limit as x approaches 0+of arctan(2/x)

x \to 0 + lim (arctan (\frac{2}{x}))

\frac{π}{2}

Decimal Notation

1.57079 \dots

Solution steps

x \to 0 + lim (arctan (\frac{2}{x}))

Apply the Limit Chain Rule:

\frac{π}{2}

= \frac{π}{2}

y^{^{''}} + 2 y^{^{'}} + 20 y = 0, y (0) = 1, y^{^{'}} (0) = 0

f (x) = x - 5 cos (x), at x = 0

n = 0 \sum \infty (x - 10)^{n}

f (x) = \frac{1}{3 - x}

\int_{0}^{3} 2 d x

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