Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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6. Prove the following inequalities. (a) |sin(x) – sin(y)| < |x – y| for x, y E R (b) - - x-1 < log(x) < x – 1 for x > 1 -
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Transcribed Image Text:6. Prove the following inequalities. (a) |sin(x) – sin(y)| < |x – y| for x, y E R (b) - - x-1 < log(x) < x – 1 for x > 1 -
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Step 1

To prove the following inequalities.

  1. sinx−siny≤x−y for x,y∈R
  2. x−1x<logx<x−1 for x>1
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