The following function can be approximated by an infinite series: 1 · =x°+x¹+ x²+x³+ ... 1-x Determine an approximation for the function at x = 0.6 when 3 terms are included. Give all answers with 2 decimal places. (Recommended time: 10 minutes) (a) What is the approximate value for the function? Blank 1 (b) What is the absolute value of the true error (| Et |)? Blank 2 (c) What is the absolute value of the true relative percent error? Blank 3 (d) What is the absolute value of the approximate error (| Ea |)? Assume previous approximation uses 2 terms. Blank 4 (e) What is the absolute value of the approximate relative percent error? Blank 5 Blank 1 Add your answer Blank 2 Add your answer Blank 3 Add your answer Blank 4 Add your answer Blank 5 Add your answer

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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The following function can be approximated by an infinite series:
1
· =x°+x¹+ x²+x³+ ...
1-x
Determine an approximation for the function at x = 0.6 when 3 terms are included. Give all answers with 2 decimal
places. (Recommended time: 10 minutes)
(a) What is the approximate value for the function? Blank 1
(b) What is the absolute value of the true error (| Et |)? Blank 2
(c) What is the absolute value of the true relative percent error? Blank 3
(d) What is the absolute value of the approximate error (| Ea |)? Assume previous approximation uses 2 terms. Blank 4
(e) What is the absolute value of the approximate relative percent error? Blank 5
Blank 1
Add your answer
Blank 2
Add your answer
Blank 3
Add your answer
Blank 4
Add your answer
Blank 5
Add your answer
Transcribed Image Text:The following function can be approximated by an infinite series: 1 · =x°+x¹+ x²+x³+ ... 1-x Determine an approximation for the function at x = 0.6 when 3 terms are included. Give all answers with 2 decimal places. (Recommended time: 10 minutes) (a) What is the approximate value for the function? Blank 1 (b) What is the absolute value of the true error (| Et |)? Blank 2 (c) What is the absolute value of the true relative percent error? Blank 3 (d) What is the absolute value of the approximate error (| Ea |)? Assume previous approximation uses 2 terms. Blank 4 (e) What is the absolute value of the approximate relative percent error? Blank 5 Blank 1 Add your answer Blank 2 Add your answer Blank 3 Add your answer Blank 4 Add your answer Blank 5 Add your answer
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