Course Hero Logo
Upload to Study
Expert Help

MAT-232-WA10.docx - Thomas Edison State College Calculus II...

Doc Preview
Pages 6
Identified Q&As 11
Solutions available
Total views 94
Thomas Edison State College Calculus II (MAT-232) Section no.: Semester and year: OCTOBER 2017 Written Assignment 10 Answer all assigned exercises, and show all work. Each exercise is worth 10 points. Section 8.7 6.Find the Maclaurin series (i.e., Taylor series aboutc= 0) and its interval of convergence.
View full document
10.Find the Taylor series about the indicated center, and determine the interval of convergence.
View full document
f' (x)=−sinx ,f(−π2)=−sin(−π 2 ) =1 f' ' (x) =−cosx ,f(−π2)=−cos(−π 2 ) =0 f' ' '(x) =sinx ,f(−π2)=sin(−π 2 ) =−1 f4 (x)=cosx, f(−π2)=cos(−π 2 ) =0 11!(x+π2)−13!(x+π2)3+15!(x+π2)5−17!(x+ π 2)7∑ k=0 ∞−1k(2k−1)! (x+ π 2 ) (2k−1) limk →∞|−1(k+1 ) (x+ π 2 ) 2(k+1)−1 (2(k+1)−1)!(2k−1)! −1k (x+ π 2 ) 2k−1| =limk →∞ |1 2k(2k+1) | =0 converges for all x intervalof convergenceis(−∞ ,∞)
Course Hero Badge

Want to read all 6 pages?

Previewing 3 of 6 pages Upload your study docs or become a member.
Course Hero Badge

Want to read all 6 pages?

Previewing 3 of 6 pages Upload your study docs or become a member.
Course Hero Badge

End of preview

Want to read all 6 pages? Upload your study docs or become a member.