in problems 6-9, use the taylor series for f centered at 0 to fnd the power series representation for g. write your answer using sigma notation and give the radius of convergence for the resulting series. 6. 7. 8. 9. 10. use a taylor series to approximate the value of the definite integral. use as many terms as needed to ensure that the error is less than show at least 8 decimal places in your answer. f(x)