Use Taylor expansion with the Lagrange Remainder, prove the following inequalities 1. x * < sin æ < x, x > 0. 2. x – 5 < In(1+x) < x, x > 0.
Use Taylor expansion with the Lagrange Remainder, prove the following inequalities 1. x * < sin æ < x, x > 0. 2. x – 5 < In(1+x) < x, x > 0.
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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How do you solve 2? Please write clearly thank you!
![Use Taylor expansion with the Lagrange Remainder, prove the following inequalities
1. x
< sin x < x, x > 0.
|
6
2. x
5 < In(1+x) < x, x > 0.
2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fde08e73c-6929-4185-8366-f0645b4acabe%2F95013339-b318-46f6-8491-9a99f4a5ad8d%2Fe092yc_processed.png&w=3840&q=75)
Transcribed Image Text:Use Taylor expansion with the Lagrange Remainder, prove the following inequalities
1. x
< sin x < x, x > 0.
|
6
2. x
5 < In(1+x) < x, x > 0.
2
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