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
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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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
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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