Problem 2. Show that as x → 0∞, (1+4)'-- + e. In(1+h) – In 1 = lim h→0 In(1+ h) d In x lim h→0 = lim x In(1+ ÷). Hint: 1= dx |x=1 h h

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter58: Achievement Review—section Five
Section: Chapter Questions
Problem 30AR: Determine dimension x to 3 decimal places.
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Problem 2.
Show that as x → 00,
1+
→ e.
In(1+ h)
In(1 + h) – In 1
= lim
h→0
d
Hint: 1 =
dx
In x
= lim
h→0
= lim x In(1+=).
x=1
h
h
Transcribed Image Text:Problem 2. Show that as x → 00, 1+ → e. In(1+ h) In(1 + h) – In 1 = lim h→0 d Hint: 1 = dx In x = lim h→0 = lim x In(1+=). x=1 h h
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