Question

(2) Convert dix bo0 series using power seres expansion Operations 1+x² Convert 1 dx to a series using power series expansion +2x (PART TWO) operahus. (Expres.your final answer in Einstein) U the equality i-cosex) = 1-(1-32X+***** xº+coo) simplifier to the power sorres expansion . 10.8.a e thes, or equivalently, (.1-cos(x)) = 20 Now let s donute the integral - ws(x) ok allsing power series.... 2r la comert s to an alternating enes with ratsonal terms an satisfying the AST andition laulso. Express your final ensurar S = { an in Ennotation (b) use the AST Remainder Estimate to approximate the value of s by a rationa number with femacs. 12000. Be sure to justing your emor bounde Reminder Express all rational numbers as fractions of integers, not as decimals ALSO I write the final answers in 2, ), and Dra) in E-notation.

Answer 1

༼ དད པ ས “ = [- ༈ , , , , , ]4ལ ༼ = - བྷྱཱ ཙྪཱ ཙྪཱ , ” བ། 1 - - + 6 - - , *- -- --.་ = 1 - +-- + - - - ， 2 »| ་༧) ཝིལ་ - ། - ༣༣ ཙ ༩ --ཊིཀ རྣལ 14 = ༣ -རཱན༌ དྷས༔ - ༔ , l༤༩ - - ། ༡ | b 1 n-1 h - " " – ༼ (3) 3n g h 2| ལྔ1