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

The limit as x approaches 1 of (arctan(x))/x is pi/4

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

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

\frac{π}{4}

Decimal

0.78539 \dots

Solution steps

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

Plug in the value

x = 1

= \frac{arctan ( 1 )}{1}

Simplify

\frac{arctan ( 1 )}{1} : \frac{π}{4}

= \frac{π}{4}

x \to 2 lim (\frac{x + 3}{x - 1})

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

x \to \infty lim (4 ln (x))

x \to - 1 lim (\frac{x}{( 1 + x ) ^{2}})

x \to \frac{π}{2} lim (tan (3 x))

What is the limit as x approaches 1 of (arctan(x))/x ?
The limit as x approaches 1 of (arctan(x))/x is pi/4