Study uniform convergence on 10, 1) of the sequence of functions Jn for the following: a fn(x) = T+(nx+1)* byfn (x) = 7+(nx-1)² c)fn(x) = x"(1 – x) d)fn (x) = næ"(1 – x)

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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Study uniform convergence on
[0, 1) of the sequence of functions Jn for the following:
a) fn(x) = F(nx+1)*
byfn (x) = 7+(nx-1)²
c)fn (x) = x"(1 - x)
d)fn (x) = nx"(1 –.
x)
Transcribed Image Text:Study uniform convergence on [0, 1) of the sequence of functions Jn for the following: a) fn(x) = F(nx+1)* byfn (x) = 7+(nx-1)² c)fn (x) = x"(1 - x) d)fn (x) = nx"(1 –. x)
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