Explanation The expression is given as lim h → 0 e 1 + h − e h The limit is the value approached by this expression as h approaches 0. The values in the table given below seem to be approaching 2.71828 as h → 0 .So it is a reasonable guess that lim h → 0 e 1 + h − e h = e = 2.71828 However, we cannot be sure that the limit is exactly the numerical value of e by looking at the table

Applied Calculus, 6e WileyPLUS + Loose-leaf

6th Edition

ISBN: 9781119408901

Author: Deborah Hughes-Hallett, Andrew M. Gleason, Patti Frazer Lock, Daniel E. Flath

Publisher: Wiley (WileyPLUS Products)

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Chapter 2, Problem 12FOT

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The limit by substituting smaller and smaller values of h.

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Chapter 2, Problem 11FOT

Chapter 2, Problem 13FOT

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Chapter 2 Solutions

Applied Calculus, 6e WileyPLUS + Loose-leaf

Ch. 2.1 - Prob. 1P Ch. 2.1 - Prob. 2P Ch. 2.1 - Prob. 3P Ch. 2.1 - Prob. 4P Ch. 2.1 - Prob. 5P Ch. 2.1 - Prob. 6P Ch. 2.1 - Prob. 7P Ch. 2.1 - Prob. 8P Ch. 2.1 - Prob. 9P Ch. 2.1 - Prob. 10P

Ch. 2.1 - Prob. 11P Ch. 2.1 - Prob. 12P Ch. 2.1 - Prob. 13P Ch. 2.1 - Prob. 14P Ch. 2.1 - Prob. 15P Ch. 2.1 - Prob. 16P Ch. 2.1 - Prob. 17P Ch. 2.1 - Prob. 18P Ch. 2.1 - Prob. 19P Ch. 2.1 - Prob. 20P Ch. 2.1 - Prob. 21P Ch. 2.1 - Prob. 22P Ch. 2.1 - Prob. 23P Ch. 2.1 - Prob. 24P Ch. 2.1 - Prob. 25P Ch. 2.1 - Prob. 26P Ch. 2.1 - Prob. 27P Ch. 2.1 - Prob. 28P Ch. 2.1 - Prob. 29P Ch. 2.1 - Prob. 30P Ch. 2.1 - Prob. 31P Ch. 2.1 - Prob. 32P Ch. 2.1 - Prob. 33P Ch. 2.1 - Prob. 34P Ch. 2.1 - Prob. 35P Ch. 2.1 - Prob. 36P Ch. 2.1 - Prob. 37P Ch. 2.1 - Prob. 38P Ch. 2.1 - Prob. 39P Ch. 2.1 - Prob. 40P Ch. 2.1 - Prob. 41P Ch. 2.2 - Prob. 1P Ch. 2.2 - Prob. 2P Ch. 2.2 - Prob. 3P Ch. 2.2 - Prob. 4P Ch. 2.2 - Prob. 5P Ch. 2.2 - Prob. 6P Ch. 2.2 - Prob. 7P Ch. 2.2 - Prob. 8P Ch. 2.2 - Prob. 9P Ch. 2.2 - Prob. 10P Ch. 2.2 - Prob. 11P Ch. 2.2 - Prob. 12P Ch. 2.2 - Prob. 13P Ch. 2.2 - Prob. 14P Ch. 2.2 - Prob. 15P Ch. 2.2 - Prob. 16P Ch. 2.2 - Prob. 17P Ch. 2.2 - Prob. 18P Ch. 2.2 - Prob. 19P Ch. 2.2 - Prob. 20P Ch. 2.2 - Prob. 21P Ch. 2.2 - Prob. 22P Ch. 2.2 - Prob. 23P Ch. 2.2 - Prob. 24P Ch. 2.2 - Prob. 25P Ch. 2.2 - Prob. 26P Ch. 2.2 - Prob. 27P Ch. 2.2 - Prob. 28P Ch. 2.2 - Prob. 29P Ch. 2.2 - Prob. 30P Ch. 2.2 - Prob. 31P Ch. 2.2 - Prob. 32P Ch. 2.2 - Prob. 33P Ch. 2.2 - Prob. 34P Ch. 2.2 - Prob. 35P Ch. 2.3 - Prob. 1P Ch. 2.3 - Prob. 2P Ch. 2.3 - Prob. 3P Ch. 2.3 - Prob. 4P Ch. 2.3 - Prob. 5P Ch. 2.3 - Prob. 6P Ch. 2.3 - Prob. 7P Ch. 2.3 - Prob. 8P Ch. 2.3 - Prob. 9P Ch. 2.3 - Prob. 10P Ch. 2.3 - Prob. 11P Ch. 2.3 - Prob. 12P Ch. 2.3 - Prob. 13P Ch. 2.3 - Prob. 14P Ch. 2.3 - Prob. 15P Ch. 2.3 - Prob. 16P Ch. 2.3 - Prob. 17P Ch. 2.3 - Prob. 18P Ch. 2.3 - Prob. 19P Ch. 2.3 - Prob. 20P Ch. 2.3 - Prob. 21P Ch. 2.3 - Prob. 22P Ch. 2.3 - Prob. 23P Ch. 2.3 - Prob. 24P Ch. 2.3 - Prob. 25P Ch. 2.3 - Prob. 26P Ch. 2.3 - Prob. 27P Ch. 2.3 - Prob. 28P Ch. 2.3 - Prob. 29P Ch. 2.3 - Prob. 30P Ch. 2.3 - Prob. 31P Ch. 2.3 - Prob. 32P Ch. 2.3 - Prob. 33P Ch. 2.3 - Prob. 34P Ch. 2.3 - Prob. 35P Ch. 2.3 - Prob. 36P Ch. 2.3 - Prob. 37P Ch. 2.3 - Prob. 38P Ch. 2.3 - Prob. 39P Ch. 2.3 - Prob. 40P Ch. 2.3 - Prob. 41P Ch. 2.3 - Prob. 42P Ch. 2.3 - Prob. 43P Ch. 2.3 - Prob. 44P Ch. 2.3 - Prob. 45P Ch. 2.3 - Prob. 46P Ch. 2.3 - Prob. 47P Ch. 2.3 - Prob. 48P Ch. 2.3 - Prob. 49P Ch. 2.3 - Prob. 50P Ch. 2.3 - Prob. 51P Ch. 2.3 - Prob. 52P Ch. 2.3 - Prob. 53P Ch. 2.3 - Prob. 54P Ch. 2.3 - Prob. 55P Ch. 2.3 - Prob. 56P Ch. 2.3 - Prob. 57P Ch. 2.3 - Prob. 58P Ch. 2.3 - Prob. 59P Ch. 2.3 - Prob. 60P Ch. 2.3 - Prob. 61P Ch. 2.3 - Prob. 62P Ch. 2.3 - Prob. 63P Ch. 2.3 - Prob. 64P Ch. 2.3 - Prob. 65P Ch. 2.3 - Prob. 66P Ch. 2.3 - Prob. 67P Ch. 2.3 - Prob. 68P Ch. 2.3 - Prob. 69P Ch. 2.4 - Prob. 1P Ch. 2.4 - Prob. 2P Ch. 2.4 - Prob. 3P Ch. 2.4 - Prob. 4P Ch. 2.4 - Prob. 5P Ch. 2.4 - Prob. 6P Ch. 2.4 - Prob. 7P Ch. 2.4 - Prob. 8P Ch. 2.4 - Prob. 9P Ch. 2.4 - Prob. 10P Ch. 2.4 - Prob. 11P Ch. 2.4 - Prob. 12P Ch. 2.4 - Prob. 13P Ch. 2.4 - Prob. 14P Ch. 2.4 - Prob. 15P Ch. 2.4 - Prob. 16P Ch. 2.4 - Prob. 17P Ch. 2.4 - Prob. 18P Ch. 2.4 - Prob. 19P Ch. 2.4 - Prob. 20P Ch. 2.4 - Prob. 21P Ch. 2.4 - Prob. 22P Ch. 2.4 - Prob. 23P Ch. 2.4 - Prob. 24P Ch. 2.4 - Prob. 25P Ch. 2.4 - Prob. 26P Ch. 2.4 - Prob. 27P Ch. 2.4 - Prob. 28P Ch. 2.4 - Prob. 29P Ch. 2.4 - Prob. 30P Ch. 2.4 - Prob. 31P Ch. 2.4 - Prob. 32P Ch. 2.4 - Prob. 33P Ch. 2.4 - Prob. 34P Ch. 2.4 - Prob. 35P Ch. 2.4 - Prob. 36P Ch. 2.5 - Prob. 1P Ch. 2.5 - Prob. 2P Ch. 2.5 - Prob. 3P Ch. 2.5 - Prob. 4P Ch. 2.5 - Prob. 5P Ch. 2.5 - Prob. 6P Ch. 2.5 - Prob. 7P Ch. 2.5 - Prob. 8P Ch. 2.5 - Prob. 9P Ch. 2.5 - Prob. 10P Ch. 2.5 - Prob. 11P Ch. 2.5 - Prob. 12P Ch. 2.5 - Prob. 13P Ch. 2.5 - Prob. 14P Ch. 2.5 - Prob. 15P Ch. 2.5 - Prob. 16P Ch. 2.5 - Prob. 17P Ch. 2.5 - Prob. 18P Ch. 2.5 - Prob. 19P Ch. 2 - Prob. 1SYU Ch. 2 - Prob. 2SYU Ch. 2 - Prob. 3SYU Ch. 2 - Prob. 4SYU Ch. 2 - Prob. 5SYU Ch. 2 - Prob. 6SYU Ch. 2 - Prob. 7SYU Ch. 2 - Prob. 8SYU Ch. 2 - Prob. 9SYU Ch. 2 - Prob. 10SYU Ch. 2 - Prob. 11SYU Ch. 2 - Prob. 12SYU Ch. 2 - Prob. 13SYU Ch. 2 - Prob. 14SYU Ch. 2 - Prob. 15SYU Ch. 2 - Prob. 16SYU Ch. 2 - Prob. 17SYU Ch. 2 - Prob. 18SYU Ch. 2 - Prob. 19SYU Ch. 2 - Prob. 20SYU Ch. 2 - Prob. 21SYU Ch. 2 - Prob. 22SYU Ch. 2 - Prob. 23SYU Ch. 2 - Prob. 24SYU Ch. 2 - Prob. 25SYU Ch. 2 - Prob. 26SYU Ch. 2 - Prob. 27SYU Ch. 2 - Prob. 28SYU Ch. 2 - Prob. 29SYU Ch. 2 - Prob. 30SYU Ch. 2 - Prob. 31SYU Ch. 2 - Prob. 32SYU Ch. 2 - Prob. 33SYU Ch. 2 - Prob. 34SYU Ch. 2 - Prob. 35SYU Ch. 2 - Prob. 36SYU Ch. 2 - Prob. 37SYU Ch. 2 - Prob. 38SYU Ch. 2 - Prob. 39SYU Ch. 2 - Prob. 40SYU Ch. 2 - Prob. 41SYU Ch. 2 - Prob. 42SYU Ch. 2 - Prob. 43SYU Ch. 2 - Prob. 44SYU Ch. 2 - Prob. 45SYU Ch. 2 - Prob. 46SYU Ch. 2 - Prob. 47SYU Ch. 2 - Prob. 48SYU Ch. 2 - Prob. 49SYU Ch. 2 - Prob. 50SYU Ch. 2 - Prob. 51SYU Ch. 2 - Prob. 52SYU Ch. 2 - Prob. 53SYU Ch. 2 - Prob. 54SYU Ch. 2 - Prob. 55SYU Ch. 2 - Prob. 1FOT Ch. 2 - Prob. 2FOT Ch. 2 - Prob. 3FOT Ch. 2 - Prob. 4FOT Ch. 2 - Prob. 5FOT Ch. 2 - Prob. 6FOT Ch. 2 - Prob. 7FOT Ch. 2 - Prob. 8FOT Ch. 2 - Prob. 9FOT Ch. 2 - Prob. 10FOT Ch. 2 - Prob. 11FOT Ch. 2 - Prob. 12FOT Ch. 2 - Prob. 13FOT Ch. 2 - Prob. 14FOT Ch. 2 - Prob. 15FOT Ch. 2 - Prob. 16FOT Ch. 2 - Prob. 17FOT Ch. 2 - Prob. 18FOT Ch. 2 - Prob. 19FOT Ch. 2 - Prob. 20FOT Ch. 2 - Prob. 21FOT Ch. 2 - Prob. 22FOT Ch. 2 - Prob. 23FOT Ch. 2 - Prob. 24FOT Ch. 2 - Prob. 25FOT Ch. 2 - Prob. 26FOT Ch. 2 - Prob. 27FOT Ch. 2 - Prob. 28FOT Ch. 2 - Prob. 29FOT Ch. 2 - Prob. 30FOT Ch. 2 - Prob. 31FOT Ch. 2 - Prob. 32FOT Ch. 2 - Prob. 33FOT Ch. 2 - Prob. 34FOT Ch. 2 - Prob. 35FOT Ch. 2 - Prob. 36FOT Ch. 2 - Prob. 37FOT Ch. 2 - Prob. 38FOT Ch. 2 - Prob. 39FOT Ch. 2 - Prob. 40FOT Ch. 2 - Prob. 41FOT Ch. 2 - Prob. 42FOT Ch. 2 - Prob. 43FOT

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The limit by substituting smaller and smaller values of h.

Solution Summary: The author calculates the limit by substituting smaller and smaller values of h. The expression is given as undersethto 0displaystyle

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The limit by substituting smaller and smaller values of h.

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Chapter 2 Solutions