6. Find the interval of convergence for the power series 1 2n+ 1* 7. Use the substitution method and a known power series to find power series for the following function (use one Sigma notation): f (x) = =n(3x) X 8. Calculate the Maclaurin series to the xterm: 1 f (x ) = 2+x 9. Evaluate (use Maclaurin series for e* ) 9* - 1 -x lim x2 10. How many terms of the Maclaurin series for sin (x ) are needed to approximate the values of f (x) = sin(x) on the interval [-=] with an error less than 10-10