solving limits with Taylor series

[Kyle bekken]

I know that ln(x+1), sin(x), and cos(x) all have predefined Taylor series but when I put their first few numbers for each series in(second picture), I don't know how to simplify to get -1/2. Thank you!View attachment 18138
View attachment 18139

 

[topsquark]

The links are bad.

-Dan