Let f(x) be a function that has a Taylor Series centred at x = 3 given by f(κ) = Σ (241) (= - 4 2 +2 converges. What is the smallest value of k for which the derivative f(*) (4) * 0? k = 6 What is the value of this derivative? f)(4) = 0
Let f(x) be a function that has a Taylor Series centred at x = 3 given by f(κ) = Σ (241) (= - 4 2 +2 converges. What is the smallest value of k for which the derivative f(*) (4) * 0? k = 6 What is the value of this derivative? f)(4) = 0
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Let f(x) be a function that has a Taylor Series centred at x = 3 given by
DO 3^n²
f(x)=
-(x-4)²n+2
converges.
n2=2
(2n + 1)!
What is the smallest value of k for which the derivative f(*) (4) * 0? k = 6
What is the value of this derivative? f(*) (4) = 0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4ad75532-6e32-4e4d-98a4-01d29744a910%2Ff04d108c-fdc0-43ab-b989-2b840776228c%2Fw7r9usf_processed.png&w=3840&q=75)
Transcribed Image Text:Let f(x) be a function that has a Taylor Series centred at x = 3 given by
DO 3^n²
f(x)=
-(x-4)²n+2
converges.
n2=2
(2n + 1)!
What is the smallest value of k for which the derivative f(*) (4) * 0? k = 6
What is the value of this derivative? f(*) (4) = 0
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