2. [-/2 Points] DETAILS SESSCALC2 8.6.011. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Express the function as the sum of a power series by first using partial fractions. f (x ) = x2 - 4x - 12 f(x ) = > Find the interval of convergence. (Enter your answer using interval notation.) Need Help? Read It Watch It (Submit Answer 3. [-/6 Points] DETAILS SESSCALC2 8.6.013. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER (a) Use differentiation to find a power series representation for f (x ) = (5 + x ) 2 . f ( x ) = n = 0 What is the radius of convergence, R? R = (b) Use part (a) to find a power series for f ( x ) = (5+ x)3 f(x ) = >( n = 0 What is the radius of convergence, R? R = (c) Use part (b) to find a power series for x 2 f( x ) : (5 + x)3 F(x ) = ( n = 2 What is the radius of convergence, R? R = Need Help? Read It Watch It Submit Answer4. [0/2 Points] DETAILS PREVIOUS ANSWERS SESSCALC2 8.6.015.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find a power series representation for the function. f(x) = In(11 - x) on + 2 f(x) = In(11) - n = 1 5n + 2 X Determine the radius of convergence, R. R = 1 X Need Help? Read It Watch It Master It Submit Answer 5. [-/2 Points] DETAILS SESSCALC2 8.6.025.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Evaluate the indefinite integral as a power series. 1- til dt c + n = 0 What is the radius of convergence R? R = Need Help? Read It Watch It Master It Submit Answer 6. [-/1 Points] DETAILS SESSCALC2 8.6.029. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Use a power series to approximate the definite integral, I, to six decimal places. Co.1 1 + x5 dx I = Need Help? Read It Watch It Submit Answer 7. [-/2 Points] DETAILS SESSCALC2 8.6.505.XP. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find a power series representation for the function. f(x) = arctan() f(x ) = > n = 0 Determine the radius of convergence, R. R = Need Help? Read It