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

\int \frac{1}{9 - 81 x ^{2}} d x

\frac{d}{d x} (\frac{2 x}{3 - cot ( x )})

5^{2 x + 6} (ln (5 x + 7))

\int 9 x^{2} - 1 d x

f (x) = 4 sec (x)

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