(a) How is the number e defined? e is the number such that lim h→ ∞ lim h→0 e is the number such that lim h→0 e is the number such that lim h→0 e is the number such that lim h→0 ΟΟΟ e is the number such that lim h→ 1 lim h→0 h eh + 1 h = eh eh h e e-h - 1 h 1 h What can you conclude about the value of 0
(a) How is the number e defined? e is the number such that lim h→ ∞ lim h→0 e is the number such that lim h→0 e is the number such that lim h→0 e is the number such that lim h→0 ΟΟΟ e is the number such that lim h→ 1 lim h→0 h eh + 1 h = eh eh h e e-h - 1 h 1 h What can you conclude about the value of 0
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.2: Exponential Functions
Problem 31E
Related questions
Question
Transcribed Image Text:(a) How is the number e defined?
e is the number such that lim
h → ∞
lim
h→0
e is the number such that lim
h→0
e is the number such that lim
ΟΟΟ
e is the number such that lim
h→0
e is the number such that lim
h→ 1
lim
h→0 h
=
eh + 1
h
eh
0.99
e
2.7 <e < 2.8
1.03 <e < 2.7
h→0 h
h
e-h - 1
e
1
h
= 1.
= 1.
eh + 1 = 1.
h
(b) Use a calculator to estimate the values of the following limits to two decimal places.
2.7h - 1
h
2.8h 1
What can you conclude about the value of e?
0 <e < 1
0.99<e < 2.7
1.03
- 1
= 1.
= 1.
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