how to find the first three non-zero terms of the Maclaurin series of f(x)=(ln(1-x))/(sin(x))

Question

I believe ∑(((-1)^n)/(2n+1)!)*x^(2n+1) when n=0 as it goes to infintiy would go in the denominator for sin(x) but finding what ln(1-x) becomes and how to go about finding the first three non-zero terms is what is befuddling me.

Answer 1

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