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

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

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limit as x approaches pi/2 of arctan(x)

x \to \frac{π}{2} lim (arctan (x))

arctan (\frac{π}{2})

Decimal

1.00388 \dots

Solution steps

x \to \frac{π}{2} lim (arctan (x))

Plug in the value

x = \frac{π}{2}

= arctan (\frac{π}{2})

h \to 0 lim (3 x^{2} + 3 x h + h^{2})

x \to 0 + lim (\frac{x}{ln ( x + 1 )})

x \to 0 + lim (ln ((\frac{1}{x})^{x}))

x \to \infty lim (- x^{- 2})

x \to 0 + lim (x x)

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