Let f:(-1,1)→ R. f(x) = (2n)! 4" (n!) ² (2n+1) -x2n+1 and f(x) = f (x), xe (-1,1). Find f n=0 - Σof(x). Find t *) (please enter your answer in the decimal point with three significant digits after the decimal point). Let f :[0, 1] → R be given by f(x)=xe-x and define f(x) = . Please input your answer in the decimal form with three significant digits after the decimal point.
Let f:(-1,1)→ R. f(x) = (2n)! 4" (n!) ² (2n+1) -x2n+1 and f(x) = f (x), xe (-1,1). Find f n=0 - Σof(x). Find t *) (please enter your answer in the decimal point with three significant digits after the decimal point). Let f :[0, 1] → R be given by f(x)=xe-x and define f(x) = . Please input your answer in the decimal form with three significant digits after the decimal point.
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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Question
Please answer both parts of the question
![Let f :(-1,1)→R, f (x)
n
n
(2n) !
4¹ (n!) ² (2n+1)
∞0
2n+1
-x²n+¹ and f(x) = Σf (x), x€ (-1,1). Find f
(1)
(please enter your answer in the decimal point with three significant digits after the decimal point).
n
n=0
8
Let f:[0, 1] → R be given by f(x) = xe-nx and define f(x) = ∞ f (x). Find f (-)
n=0 n
2
Please input your answer in the decimal form with three significant digits after the decimal point.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa8d46346-fe9f-45aa-a3a0-df12b7cae379%2F0e7b214e-7baf-42db-a4ce-f1055df1fce5%2Ftv618in_processed.png&w=3840&q=75)
Transcribed Image Text:Let f :(-1,1)→R, f (x)
n
n
(2n) !
4¹ (n!) ² (2n+1)
∞0
2n+1
-x²n+¹ and f(x) = Σf (x), x€ (-1,1). Find f
(1)
(please enter your answer in the decimal point with three significant digits after the decimal point).
n
n=0
8
Let f:[0, 1] → R be given by f(x) = xe-nx and define f(x) = ∞ f (x). Find f (-)
n=0 n
2
Please input your answer in the decimal form with three significant digits after the decimal point.
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