5. Directions: Clearly circle your answer choice. Show your work for each problem for potential partial credit. Find the third term (n = 2) of the Taylor series for sin(2x) at a = a ) - (x - 7 ) b ) - = ( x - 75 ) 2 C ) - 4 ( x - 15 ) 2 Sin 2x 5in 2 #2 d) - 2 ( x - 17 ) 2 COS 25x42X flat ( x - 1 ) 2 2 1 2 0 y sin 2 X 4 5 mu # 3 1 - V 6. Use substitution to find the Maclaurin series of the function In (1+ 2x2) + 2 a) (-1)n-1x2n (- 1 ) n - 1 x n-1 n=1 2nn b ) > (-1)n-1 x2n x 2n n=1 n C ) 7=1 2n d) n= 1 n Inlitx ) ( - 1 ) " - 1 x m n In( 1+1x2 7. Find the sum of the series: -3 - 3 In 2 _ 3(In 2)2 23 (In 2) 3 3(In 2)4 2 ! 3 ! 4! + 2 a) - e2 b) - 8 C) - 6 d) - 3In(2) In = Total pts for page