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

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

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

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

- \infty

Solution steps

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

Apply the Limit Chain Rule:

- \infty

= - \infty

x \to 0 lim (+ x^{x})

x \to - 2 lim (\frac{x + 2}{x})

x \to 0 lim (x lo g_{10} (x))

x \to \infty lim ((1 + \frac{11}{x})^{\frac{x}{12}})

x \to - \infty lim (3 \frac{( 3 x ^{7} - 4 x ^{5} )}{2 x ^{7} + 1})

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