(a) Use the Mean Value Theorem to show that, if smals x+1 x² +1' then there is a point c in (-1, 1) such that f'(c) = - oup SHIGU (b) Use L'Hôpital's Rule to prove that the limit f(x) = x³ + 3x² - 4 e-1-1 exists and to determine its value. lim I→1
(a) Use the Mean Value Theorem to show that, if smals x+1 x² +1' then there is a point c in (-1, 1) such that f'(c) = - oup SHIGU (b) Use L'Hôpital's Rule to prove that the limit f(x) = x³ + 3x² - 4 e-1-1 exists and to determine its value. lim I→1
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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Transcribed Image Text:(a) Use the Mean Value Theorem to show that, if als does lo ogauri out
od bra
x+1
x² +1'
then there is a point c in (-1, 1) such that ƒ'(c) = ½⁄2-
quote dupa
(b) Use L'Hôpital's Rule to prove that the limit
ƒ(x) =
x³ + 3x² - 4
ex-1 - 1
exists and to determine its value.
lim
x-1
i lo
rg brabe
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