f(x) x f'(x) f”(x) f"(x) 2 0 0 5 7 The third derivative of the function f is continuous on the interval (0, 4). Values for f and its first three derivatives at x = 2 are given in the table above. What is lim f(x) x2(x - 2)² ? (5/2) 05 0 O the limit does not exist

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.2: Polynomial Functions
Problem 96E: What is the purpose of the Intermediate Value Theorem?
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Look at picture please!

f(x)
f'(x)
f"(x)
f"(x)
2
5
7
The third derivative of the function f is continuous on the interval (0, 4). Values for f and its first
three derivatives at x = 2 are given in the table above. What is lim
f(x)
?
x→2 (x – 2)
(5/2)
5
the limit does not exist
Transcribed Image Text:f(x) f'(x) f"(x) f"(x) 2 5 7 The third derivative of the function f is continuous on the interval (0, 4). Values for f and its first three derivatives at x = 2 are given in the table above. What is lim f(x) ? x→2 (x – 2) (5/2) 5 the limit does not exist
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