What is the limit as x approaches 0 of (cos(2x))/(sin(2x)) ?

The limit as x approaches 0 of (cos(2x))/(sin(2x)) is diverges

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limit as x approaches 0 of (cos(2x))/(sin(2x))

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

diverges

Solution steps

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

x \to a - lim f (x) \neq = x \to a + lim f (x)

then the limit does not exist

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

x \to 0 - lim (\frac{cos ( 2 x )}{sin ( 2 x )}) = - \infty

= diverges

What is the limit as x approaches 0 of (cos(2x))/(sin(2x)) ?
The limit as x approaches 0 of (cos(2x))/(sin(2x)) is diverges