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Use the definition of e, and numerical approximations as g approaches 0 from the left, and g approaches 0 from the right. (a) How is the number e defined? lim g+0 (b) Use a calculator to estimate the values of the limits given below, correct to two decimal places. 2.7⁹-1 2.89 1 9 9 lim g+0 = 1 < 1 and lim 0+6 What can you conclude about the value of e?

Use the definition of e, and numerical approximations as g approaches 0 from the left, and g approaches 0 from the right. (a) How is the number e defined? lim g+0 (b) Use a calculator to estimate the values of the limits given below, correct to two decimal places. 2.7⁹-1 2.89 1 9 9 lim g+0 = 1 < 1 and lim 0+6 What can you conclude about the value of e?

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 52E
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Use the definition of e, and numerical approximations as g approaches 0 from the left, and g approaches 0 from the right. (a) How is the number e defined? lim g+0 = 2.79-1 lim g+0 9 (b) Use a calculator to estimate the values of the limits given below, correct to two decimal places. 2.8⁹ - 1 9 1 and lim g+0 < 1< What can you conclude about the value of e? <e<
Transcribed Image Text:Use the definition of e, and numerical approximations as g approaches 0 from the left, and g approaches 0 from the right. (a) How is the number e defined? lim g+0 = 2.79-1 lim g+0 9 (b) Use a calculator to estimate the values of the limits given below, correct to two decimal places. 2.8⁹ - 1 9 1 and lim g+0 < 1< What can you conclude about the value of e? <e<
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