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

The limit as x approaches pi/2-of ln(tan(x)) is infinity

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

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

\infty

Solution steps

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

Apply the Limit Chain Rule:

\infty

= \infty

θ \to \frac{π}{2} lim (5 θ sin (θ))

x \to - 2 lim (\frac{1}{2 ^{x} - \frac{1}{4}})

x \to 1 lim (\frac{1}{2 x})

x \to - 2 l n (2) lim (x^{10})

t \to 0 lim (t (v (t)))

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