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

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

Popular >

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

x \to \frac{π}{2} lim (\frac{x}{tan ( x )})

0

Solution steps

x \to \frac{π}{2} lim (\frac{x}{tan ( x )})

x \to a lim [\frac{f ( x )}{g ( x )}] = \frac{lim _{x \to a} f ( x )}{lim _{x \to a} g ( x )}, x \to a lim g (x) \neq = 0

With the exception of indeterminate form

= \frac{lim _{x \to \frac{π}{2}} ( x )}{lim _{x \to \frac{π}{2}} ( tan ( x ) )}

x \to \frac{π}{2} lim (x) = \frac{π}{2}

x \to \frac{π}{2} lim (tan (x)) = - \infty

= \frac{\frac{π}{2}}{- \infty}

Apply Infinity Property:

\frac{c}{- \infty} = 0

= 0

x \to π lim ((x - π) cos (x))

x \to \infty lim (7 x + 3)

x \to 0 lim ((x + 2^{x})^{\frac{1}{x}})

x \to 0 lim (\frac{1 - cos ( 3 x )}{10 x ^{2}})

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

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