For the Maclaurin series expansion of sin(x) starting with the simplest term x^1/1!, add terms one at a time to estimate sin(π/4) up to 4 terms. After a new term is added compute true error. use 4 decimal accuracy fo sin(x) and 1 decimal place for error. Show your solutions and present your answer in table form. sin x ==- 1! x³ x³ 3! + 5! 17 X 7! + ....
For the Maclaurin series expansion of sin(x) starting with the simplest term x^1/1!, add terms one at a time to estimate sin(π/4) up to 4 terms. After a new term is added compute true error. use 4 decimal accuracy fo sin(x) and 1 decimal place for error. Show your solutions and present your answer in table form. sin x ==- 1! x³ x³ 3! + 5! 17 X 7! + ....
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.5: The Binomial Theorem
Problem 37E
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![For the Maclaurin series expansion of sin(x) starting with the simplest
term x^1/1!, add terms one at a time to estimate sin(π/4) up to 4 terms.
After a new term is added compute true error. use 4 decimal accuracy for
sin(x) and 1 decimal place for error. Show your solutions and present your
answer in table form.
sin x
1!
x
X
+
3! 5!
7
x²
7!
+](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd9c79651-6f2a-4be5-ae9e-0d5f046ecd94%2Fadbafb97-87af-4101-affa-7429f7e28590%2F5o5hsks_processed.png&w=3840&q=75)
Transcribed Image Text:For the Maclaurin series expansion of sin(x) starting with the simplest
term x^1/1!, add terms one at a time to estimate sin(π/4) up to 4 terms.
After a new term is added compute true error. use 4 decimal accuracy for
sin(x) and 1 decimal place for error. Show your solutions and present your
answer in table form.
sin x
1!
x
X
+
3! 5!
7
x²
7!
+
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