What is the limit as x approaches 0+of ln(cos(x)) ?

The limit as x approaches 0+of ln(cos(x)) is 0

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limit as x approaches 0+of ln(cos(x))

x \to 0 + lim (ln (cos (x)))

0

Solution steps

x \to 0 + lim (ln (cos (x)))

Plug in the value

x = 0

= ln (cos (0))

Simplify

ln (cos (0)) : 0

= 0

x \to 2 + lim (\frac{x ^{2} - 5 x + 6}{x ^{2} - 7 x + 12})

x \to - 2 lim (tan (\frac{π}{2} x))

x \to 0 lim (cos (x) \cdot ln (x))

x \to 0 - lim (x^{3} - \frac{1}{x})

x \to - 1 lim (ln (x + 2))

What is the limit as x approaches 0+of ln(cos(x)) ?
The limit as x approaches 0+of ln(cos(x)) is 0