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

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I am having trouble generating a MacLaurin Series for

ln (1+x^2)

Please help me out on this.
 
on Phys.org
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.
 
Thank you very much HallsofIvy...
 

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