(-1)*1 2k(2k +1)(2k + 2) 7-3 1 1. 4. 2 x3 x 4 4x5x6 6 x7 x 8 k-1 What is the smallest number of terms on the RHS needed to estimate the LHS correct to 4 decimal places (i.e. we want the error to be less than 5 x 10 ). (You mieht want to use a calculator for this one.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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We've already seen that = 1-+-. (it comes up in Ch2 tut Q14), but there are MANY other series expressions involving r. Here's another one:
(-1)**1
- 2k(2k + 1)(2k + 2)
T- 3
1
1
1
4
2 x 3 x 4
4 x 5 x 6
6 x 7 x 8
What is the smallest number of terms on the RHS needed to estimate the LHS correct to 4 decimal places (i.e. we want the error to be less than 5 x 10 5).
(You might want to use a calculator for this one.)
You can stop after type your answer.
terms.
Next
昌個圃の 。
Transcribed Image Text:We've already seen that = 1-+-. (it comes up in Ch2 tut Q14), but there are MANY other series expressions involving r. Here's another one: (-1)**1 - 2k(2k + 1)(2k + 2) T- 3 1 1 1 4 2 x 3 x 4 4 x 5 x 6 6 x 7 x 8 What is the smallest number of terms on the RHS needed to estimate the LHS correct to 4 decimal places (i.e. we want the error to be less than 5 x 10 5). (You might want to use a calculator for this one.) You can stop after type your answer. terms. Next 昌個圃の 。
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