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!
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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