For each natural number nonzero n we consider the function fn: [0,1]→ R: fn (X) ex 1+xn show that the lim, 00 S fn (x) dx = e-1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Please solve the problem in the attached picture 

For each natural number nonzero n we consider the function
fn: [0,1]→ R: fn (X) =
ex
>
1+xn
show that the limn-00 So fn (x) dx = e-1
Transcribed Image Text:For each natural number nonzero n we consider the function fn: [0,1]→ R: fn (X) = ex > 1+xn show that the limn-00 So fn (x) dx = e-1
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