will lim n-00 In(x)dx lim fn(x)dx?

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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e only

{fn(x)} on [0, 1] by
{
2n²x;
2n(1 — пх);
0;
2n
1
fn(x) =
-
2n
1
く北
1. draw graphs of fi(x) to f5(x).on the same axis
determine f(x) = lim_fn(x)
2. calculate f(x)dx
3. calculate fn(x)dx
4. calculate lim
xp(x)"f
n00
5. Under what conditions will lim
fa(x)dr = /,
lim fn(x)dx?
Transcribed Image Text:{fn(x)} on [0, 1] by { 2n²x; 2n(1 — пх); 0; 2n 1 fn(x) = - 2n 1 く北 1. draw graphs of fi(x) to f5(x).on the same axis determine f(x) = lim_fn(x) 2. calculate f(x)dx 3. calculate fn(x)dx 4. calculate lim xp(x)"f n00 5. Under what conditions will lim fa(x)dr = /, lim fn(x)dx?
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