2. [-/1.04 Points] DETAILS SCALCET9 11.6.005. MY NOTES ASK YOUR TEACHER Use the Ratio Test to determine whether the series is convergent or divergent. (-1)n - 1 80 n = 1 70n 3 Identify an. Evaluate the following limit. lim |an + 1 n -00 an Since lim an+ 1 20 1, --Select--- n -+ 0 an 3. [-/1.04 Points] DETAILS SCALCET9 11.6.014. MY NOTES ASK YOUR TEACHER Use the Ratio Test to determine whether the series convergent or divergent. n = 1 Identify an. Evaluate the following limit. lim an+1 n - 0 an Since lim Lan+ 1 ? 1, --Select- nola 4. [-/1.04 Points] DETAILS SCALCET9 11.6.024. MY NOTES ASK YOUR TEACHER Use the Root Test to determine whether the series convergent or divergent. Identify an Evaluate the following limit. lim V lanl n -+ 0 Since lim Vlanl ? 2 1, ---Select--- n-+ 09. [-11.04 Points] DETAILS SCALCET9 11 .8.023. MY NOTES ASK YOUR TEACHER Find the radius of convergence, R, of the series. ni (x + 6)\" 6\" |n(n) =2 Find the interval, I, of convergence of the series. (Enter your answer using interval notation.) 10. [-11.04 Points] DETAILS SCALCETQ 11 3.009. MY NOTES ASK YOUR TEACHER Find a power series representation for the function. (Give your power series representation centered at x = D.) X2 x4+16 m = Z( :I ) Determine the interval of convergence. (Enter your answer using interval notation.) fix) = 11. [-11.04 Points] DETAILS SCALCET9 11 3.045. MY NOTES ASK YOUR TEACHER Let E X" x 7. a )= H: 2 Find the intervals of convergence for f. (Enter your answers using interval notation.) Find the intervals of convergence for I". Find the intervals of convergence for f". 12. [-11.06 Points] DETAILS SCALCET9 11.XP.9.006. MY NOTES ASK YOUR TEACHER Express the function as the sum of a power series by first using partial fractions. (Give your power series representation centered at x = D.) x+1D fiX)= 2 2x 17x9 f= :(Cl) Find the interval of convergence. (Enter your answer using interval notation.) 7. [-11.04 Points] DETAILS SCALCET9 11 3.006. MY NOTES ASK YOUR TEACHER Find the radius of convergence, R, of the series. on (_ :1)an Find the interval, I, of convergence of the series. (Enter your answer using interval notation.) 8. [-11.04 Points] DETAILS SCALCET9 11 .8.020. MY NOTES ASK YOUR TEACHER Find the radius of convergence, R, of the series. Find the interval, 1', of convergence of the series. (Enter your answer using interval notation.)