Question

Explain why f(x)=ln(cos x) is continuous.
Then find lim x->1 ln(cosx)

Answer 1

\[\lim_{x \rightarrow 1}\ln(cosx)\]

Answer 2

f(x) = ln(cos(x)) is not continuous in any general sense. Do you mean continuous AT x = 1?

Answer 3

yeah, first explain how you can make it continuous, and then solve the limit as x approaches 1

Answer 4

I see. One might try h(x) = ln(|cos(x)|). That's continuous. The logarithm can't handle negative values.

Answer 5

doing the absolute?

Answer 6

can u do this?