(a) Use a calculator to find e0.7(rounded to five decimal places). eº.7% (b) Estimate eº.7 by using the first four terms of the Taylor series +*² +*²2²* x3 ex=1+x+ 21 x4 4! +... evaluated at x = 0.7 (rounded to five decimal places). 0.7% (c) (Requires sequence and series operations) Set your calculator to find the sum of the series in part (b) up to any number of terms. What is the fewest number of terms are required for the sum (rounded to five decimal places) to agree with the value found in part (a)? terms
(a) Use a calculator to find e0.7(rounded to five decimal places). eº.7% (b) Estimate eº.7 by using the first four terms of the Taylor series +*² +*²2²* x3 ex=1+x+ 21 x4 4! +... evaluated at x = 0.7 (rounded to five decimal places). 0.7% (c) (Requires sequence and series operations) Set your calculator to find the sum of the series in part (b) up to any number of terms. What is the fewest number of terms are required for the sum (rounded to five decimal places) to agree with the value found in part (a)? terms
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 81E
Related questions
Question
![(a) Use a calculator to find e0.7(rounded to five decimal places).
e⁰.7 ≈
0.7
by using the first four terms of the Taylor series
x³ 4
+ + +
2! 3! 4!
evaluated at x = 0.7 (rounded to five decimal places).
e0.7
(b) Estimate
ex = 1 + x +
(c) (Requires sequence and series operations) Set your calculator to find the sum of the series in part (b) up to any number of terms. What is the fewest number of terms are required for the sum (rounded
to five decimal places) to agree with the value found in part (a)?
terms](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe3e728f6-9f31-40c6-b8b1-e4e39aad2d76%2F83eab179-4d60-4543-8607-32c0b008a198%2Fln624u_processed.png&w=3840&q=75)
Transcribed Image Text:(a) Use a calculator to find e0.7(rounded to five decimal places).
e⁰.7 ≈
0.7
by using the first four terms of the Taylor series
x³ 4
+ + +
2! 3! 4!
evaluated at x = 0.7 (rounded to five decimal places).
e0.7
(b) Estimate
ex = 1 + x +
(c) (Requires sequence and series operations) Set your calculator to find the sum of the series in part (b) up to any number of terms. What is the fewest number of terms are required for the sum (rounded
to five decimal places) to agree with the value found in part (a)?
terms
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