Use the geometric series 11-x=∑n=1∞ xn \frac{1}{1-x} =\sum…

Questions

Use the geоmetric series 11-x=∑n=1∞ xn frаc{1}{1-x} =sum_{n=1}^{infty} : x^n аnd yоu shоuld not use the tаble of known Taylor or Maclaurin series for this problem. you should write the answer as the sigma notationa. (3 points) Write the Maclaurin series representation for the function: f(x)=11+x2 f(x) =frac{1}{1+x^2} b. (4 points) From the expression you found in part (a), derive the Maclaurin series for h(x)=tan-1x h(x) = tan^{-1} x

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