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4.1 Consider the sequence of functions {fn(x)} = {n²x(1 - x)"} for r ER and n = 1,2,3.... 4.1.1 Sketch on the same axis the graphs of fi(a) and f2(x). 4.1.2 Find f(r) = lim fn(x) in the interval [0, 1]. n00

4.1 Consider the sequence of functions {fn(x)} = {n²x(1 - x)"} for r ER and n = 1,2,3.... 4.1.1 Sketch on the same axis the graphs of fi(a) and f2(x). 4.1.2 Find f(r) = lim fn(x) in the interval [0, 1]. n00

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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4.1 Consider the sequence of functions {fn(x)} = {n²x(1 – a)"} for r E R and n = 1,2,3.... 4.1.1 Sketch on the same axis the graphs of fi(r) and f2(x). 4.1.2 Find f(r) = lim fn(x) in the interval [0, 1].
Transcribed Image Text:4.1 Consider the sequence of functions {fn(x)} = {n²x(1 – a)"} for r E R and n = 1,2,3.... 4.1.1 Sketch on the same axis the graphs of fi(r) and f2(x). 4.1.2 Find f(r) = lim fn(x) in the interval [0, 1].
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