1. [-l2 Points] I DETAILS I LARCALC119.9.006. Find a geometric power series for the function, centered at 0, by the following methods. 4 f(X)= 7_X (a) by the technique shown in Examples 1 and 2 = z E n = 0 (b) by long division (Give the first three terms.) Need Help? 2. [l2 Points] DETAILS LARCALC11 9.9.501.XP. Find a power series for the function, centered at c. 3 f(x)= , c=2 5X n=0 Determine the interval of convergence. (Enter your answer using interval notation.) Z Need Help? _ 3. [I2 Points] DETAILS LARCALC11 9.9.019. Use the power series Determine the interval of convergence. (Enter your answer using interval notation.) Z Need Help? 4. [-I2 Points] DETAILS LARCALC11 9.9.042. 1 . . Use the fact that W = 2 anl to find the sum of each series. n = l 1 3 n S a _ = ( ) 4 \"(1) Need Help? 5. [-12 Points] DETAILS LARCALC11 9.9.037. Use the power series 1 CO = Xn,X