Consider the series S= b= by= 00 1 n-n² n=6 and its partial sums Sy= 11 (a) Show that Sy=b+by, where b is a constant and by is a rational function of N satisfying bus. Find the constant b and a formula for by N 46 (c) Use the drop-down menu to make a correct statement: The series converges. v (use "N", not "n"). 1 12-12² (b) Evaluate the limit below. As usual, eligible results include real numbers and the strings "inf", "-inf", "DNE". lim (b+by] = N-400

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Consider the series S=
b=
by=
00 1
n-n²
n=6
and its partial sums Sy=
11
(a) Show that S=b+by, where b is a constant and by is a rational function of N satisfying b13. Find the constant b and a formula for by
N
16
(c) Use the drop-down menu to make a correct statement:
The series
converges. v
(use "N", not "n").
1
12-12²
(b) Evaluate the limit below. As usual, eligible results include real numbers and the strings "inf", "-inf", "DNE".
lim (b+by] =
N-400
Transcribed Image Text:Consider the series S= b= by= 00 1 n-n² n=6 and its partial sums Sy= 11 (a) Show that S=b+by, where b is a constant and by is a rational function of N satisfying b13. Find the constant b and a formula for by N 16 (c) Use the drop-down menu to make a correct statement: The series converges. v (use "N", not "n"). 1 12-12² (b) Evaluate the limit below. As usual, eligible results include real numbers and the strings "inf", "-inf", "DNE". lim (b+by] = N-400
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