1 (a) Show that 1-x² +x* -x° +.. , where |x| < 1. 1+x? (b) Hence write down the first four non-zero terms of the power series for f(x)=- 1+4x² (c) Using the result in (b), find the first four non-zero terms of the power series for g (x) = arctan 2x.

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