Original filename: CalcBCSimilarProblem.pdf
Title: Microsoft Word - CalcBCSimilarProblem.docx
This PDF 1.3 document has been generated by Word / Mac OS X 10.11.6 Quartz PDFContext, and has been sent on pdf-archive.com on 06/05/2018 at 04:51, from IP address 172.126.x.x.
The current document download page has been viewed 96 times.
File size: 143 KB (2 pages).
Privacy: public file
Download original PDF file
AP Calculus BC
© 2018 The College Board. College Board, Advanced Placement Program, AP, AP Central, and the acorn
logo are registered trademarks of the College Board. Visit the College Board on the Web:
AP Central is the official online home for the AP Program: apcentral.collegeboard.org.
SECTION II, Part B
Number of questions—1
NO CALCULATOR IS ALLOWED FOR THIS QUESTION.
1. A Maclaurin series is the Taylor series of the function f at a=0, and is represented by the following general
f (x) = ∑
f (n) (0) n
f ''(0) 2
x = f (0) +
x + ...
(a) Compute the Maclaurin series (first four terms and general term) for the following function
sin(x 2 )
g(x) = ∫
(b) What is the interval of convergence for g(x)? Justify your answer.
cos(x ) − 1+
(c) Compute the limit lim
END OF EXAM
© 2018 The College Board.
Visit the College Board on the Web: www.collegeboard.org.