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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
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 :(-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.
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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