Consider the sequence of functions {Sn}n=2 where fn: [a, b] → R defined for n 2 2 by if 0 sxs -n° (x-) if sxs. ifsxs1 n2x Show lim fn (x)dx # lim , fn(x)dx by computing each integral where graphing fr (x) may help
Consider the sequence of functions {Sn}n=2 where fn: [a, b] → R defined for n 2 2 by if 0 sxs -n° (x-) if sxs. ifsxs1 n2x Show lim fn (x)dx # lim , fn(x)dx by computing each integral where graphing fr (x) may help
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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![Consider the sequence of functions {fn}n=2 where fn: [a, b] → R defined for n 2 2 by
if 0sxs
fa ={-n² (x -) if sxs.
if sxs1
n?x
Show lim fn (x)dx + lim fn(x)dx by computing each integral where
graphing fn (x) may help](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1a6de9c0-0dc9-496d-ac04-6f6e122e4a65%2F2343cf9f-c47d-4518-93e5-15caa0dd8d0a%2Fpd5xk0k_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the sequence of functions {fn}n=2 where fn: [a, b] → R defined for n 2 2 by
if 0sxs
fa ={-n² (x -) if sxs.
if sxs1
n?x
Show lim fn (x)dx + lim fn(x)dx by computing each integral where
graphing fn (x) may help
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