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

The limit as x approaches 0 of (ln(sin(2x)))/(ln(tan(x))) is Does not exist

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limit as x approaches 0 of (ln(sin(2x)))/(ln(tan(x)))

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

Does not exist

Solution steps

x \to 0 lim (\frac{ln ( sin ( 2 x ) )}{ln ( tan ( 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{ln ( sin ( 2 x ) )}{ln ( tan ( x ) )}) = 1

x \to 0 - lim (\frac{ln ( sin ( 2 x ) )}{ln ( tan ( x ) )}) =

Does not exist

= Does not exist

What is the limit as x approaches 0 of (ln(sin(2x)))/(ln(tan(x))) ?
The limit as x approaches 0 of (ln(sin(2x)))/(ln(tan(x))) is Does not exist