What is the limit as x approaches pi/4 of x/(tan(x)) ?

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

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limit as x approaches pi/4 of x/(tan(x))

x \to \frac{π}{4} lim (\frac{x}{tan ( x )})

\frac{π}{4}

Decimal Notation

0.78539 \dots

Solution steps

x \to \frac{π}{4} lim (\frac{x}{tan ( x )})

Plug in the value

x = \frac{π}{4}

= \frac{\frac{π}{4}}{tan ( \frac{π}{4} )}

Simplify

\frac{\frac{π}{4}}{tan ( \frac{π}{4} )} : \frac{π}{4}

= \frac{π}{4}

x \to - 1 lim (x^{4} - 4 x^{3} + 5)

x \to \infty + lim (1)

x \to \frac{24}{5} lim (5 x - 2)

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