Generating McLaurin Series for ln (1+x^2)

[islandboy401]

I am having trouble generating a MacLaurin Series for

ln (1+x^2)

Please help me out on this.

 

[HallsofIvy]

Do you know the McLaurin series for ln(1+ x)? If not, it's easy to differentiate that repeatedly and just using the definition of McLaurin series. Once you have that, replace x with x².

 

[islandboy401]

Thank you very much HallsofIvy...