Question

20. [-12 Points) DETAILS LARCALCET7 9.9.007. Find a power series for the function, centered at c. 1 f(x) C = 1 8 - x 00 f(x) = n=0 Determine the interval of convergence. (Enter your answer using interval notation.) Need Help? Read It Talk to a Tutor

Answer 1

Ans power Senies centered at c ! The Geomatric geomatric power serial form at с is a series of the a 1-10-2) = alue-cin 104-11 no whe a is the first form and ex-c is the com viation fire) | c=1 8-x writin a iting frores in the form products l-ul 0 - 8-2 7-12-1) l-u

ㅗ 8- 처 7- (-1) ㅏ 에 1-7-1) 다. ما - and which implies that 0 4 So the power Series HI-1 7 씤 for f(x) 8-01 E auen MCO 8W 일 () O 3 글 + 1 + 11-1), (-1) + + + 72 73 ht The power senie concoges When ||| 12에<4 FC- 17 1-27

-blako the anrernal which implies that (-6,8) of conuerger is Therefore the power sucia for the function these sha i C=1 centred at a is 8-2 L (9-172 + ( 72 (22-119 t Box + 7 73 74 dlso the anternal of Cancer agence 18 (-6,8)