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Firstly sorry for my bad English . I have a question related to taylor series . I did not find easy way to solve it .Derivatives are becoming more and more complex . Please help me.

question : Work out the taylor series of the function x/(1+x^2) at x =0 .Find the radius of converge and interval of converge of the series Integrating the series obtained estimate the value of ln2 ?

You don't have to find answer .I need only easy way to solve this problem . Thanks a lot