5. [l1 Points] DETAILS LARCALCETT 9.R.107. MY NOTES Use the definition of Taylor series to find the Taylor series, centered at c, for the function. for) : i, c: 7 X :i i 17:0 6. [l1 Points] DETAILS LARCALCET? 9.R.083. MY NOTES Find the interval of convergence of the power series. (Be sure to include a check for convergence at the endpoints of the interval. If the answer is an interval, enter your answer using interval notation. If the answer is a finite set of values, enter your answers as a comma separated list of values.) 7. [-/1 Points] DETAILS LARCALCET7 9.R.082. MY NOTES Determine the smallest degree of the Maciaurin polynomial required for the error in the approximation of the function at the indicated value ofx to be less than 0.001. {(X) 2 ex, approximate f(70.15) E 8. [l1 Points] DETAILS LARCALCET7 9.R.115. MY NOTES Find the Maclaurin series for the function. (Use the table of power series for elementary functions.) {(X) = sin(7x) :i > 17:0