Question

How do you find the Maclaurin Series for `f(x) = ln(cosx)`?

Answer 1

`sum ((-1)^(k+1) (cosx-1)^k)/k`

Explanation:

It's helpful to know Maclaurin Series for certain functions:

To get the Maclaurin Series for `ln(cos(x))`, use the Maclaurin Series for `ln(x)` Simply replace `x` with `cosx`

So the Maclaurin Series for `f(x)=ln(cosx)` is:

`sum ((-1)^(k+1) (cosx-1)^k)/k`