In this exercise, we prove that for all x > 0, X- 2 < ln(1 + x)

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In this exercise, we prove that for all x > 0,

X- 2 < ln(1 + x) x

= S (b) Verify that 1-t 1 1+t (c) Use (b) to prove Eq. (1). (d) Verify Eq. (1) for x = 0.5, 0.1, and 0.01.

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Dec 01, 2023 02:49 AM

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In this exercise, we prove that for all x > 0, X- 2 < ln(1 + x)

Question:

X- 2 < ln(1 + x) ≤ x

Step by Step Answer:

a Let x 0 Then dt 5171010 t ln1 t ln1 x ln 1 ln1 x H b For t 0 1 t 1 so 1 More...View the full answer

Calculus

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