9. [I2 Paints] LARCALC11 9.8.042. ASK YOUR TEACHER Find the interval of convergence of the power series, where c > 0 and k is a positive integer. (Be sure to include a check for convergence at the endpoints of the interval. Enter your answer using interval notation.) Z\": {_1)n + 1(x _ cln nc" n=1 1. [-/2 Points] DETAILS LARCALC11 9.7.012. MY NO Find a first-degree polynomial function P, whose value and slope agree with the value and slope of fat X = c. f ( x) = tan(x), c = _ P1 Use a graphing utility to graph f and P1. - 1t/4 It/4 7/ 4 310/ 4 - 10/4 7/4 31/4 O - 3 O - 3 O - 3 O - 3 Need Help? Read It Watch It 2. [-/1 Points] DETAILS LARCALC11 9.7.018.MI. Find the nth Maclaurin polynomial for the function. f ( x) = e-*, n= 5 P5 ( x ) = Need Help? Read It Master It2. [-/1 Points] DETAILS LARCALC11 9.7.018.MI. Find the nth Maclaurin polynomial for the function. f ( x ) = ex, n=5 P5 ( x ) = Need Help? Read It Master It 3. [-/1 Points] DETAILS LARCALC11 9.7.019. Find the nth Maclaurin polynomial for the function. f(x) = sin(x), n = 3 P3 ( x ) = Need Help? Read It Watch It 4. [-/1 Points] DETAILS LARCALC11 9.7.028. Find the nth Taylor polynomial for the function, centered at c. - 1 f ( x ) = _ * 2 ' n = 4, c = 2 P4( X ) = Need Help? Read It