Let f(x) be a function that has a Taylor Series centred at x = 5 given by f(x) – Σ converges. 5"n² (6n +-1)! (-5) 6+2 What is the smallest value of k for which the derivative f() (5) #0?k= What is the value of this derivative? f() (5) =

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Problem 15.
Let f(x) be a function that has a Taylor Series centred at x = 5 given by
5"n²
(6n + 1)!
converges.
f(x) =
Note: You can earn partial credit on this problem.
72
What is the smallest value of k for which the derivative f()(5) 0?k=|
What is the value of this derivative? ƒ(*) (5) =
(2-5) 6+2
Transcribed Image Text:Problem 15. Let f(x) be a function that has a Taylor Series centred at x = 5 given by 5"n² (6n + 1)! converges. f(x) = Note: You can earn partial credit on this problem. 72 What is the smallest value of k for which the derivative f()(5) 0?k=| What is the value of this derivative? ƒ(*) (5) = (2-5) 6+2
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