What is the limit as x approaches infinity of (1-tan(2x))^{3csc(4x)} ?

The limit as x approaches infinity of (1-tan(2x))^{3csc(4x)} is diverges

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limit as x approaches infinity of (1-tan(2x))^{3csc(4x)}

x \to \infty lim ((1 - tan (2 x))^{3 c s c (4 x)})

diverges

Solution steps

x \to \infty lim ((1 - tan (2 x))^{3 c s c (4 x)})

Apply Limit Divergence Criterion:

diverges

= diverges

x \to 0 lim ((2^{x} + x)^{\frac{9}{x}})

x \to 0 - lim (2 x)

x \to 0 lim (\frac{sin ( 18 x )}{x})

x \to 3 lim (4 x + 5)

x \to \frac{π}{4} lim (\frac{ln ( tan ( x ) )}{1 - cot ( x )})

What is the limit as x approaches infinity of (1-tan(2x))^{3csc(4x)} ?
The limit as x approaches infinity of (1-tan(2x))^{3csc(4x)} is diverges