Let f(x) = 2x and g(x)= 2x2, and p; = {0, 1, c} with c > 1• a partition of the interval [0,c) Determine all the values of C> 1 such that 1. Lp) = Lp(g) 2. Up(f) = Up(g) 3. Up) = Lp(g)

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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course : real analysis                           PART2

 

QUESTION 4
Let f(x) = 2x
= {0, 1, c}
c> 1, a partition of the interval O.cl:
and
with
g(x) = 2x2, and
Determine all the values ofc>1 such that
1. Lp) = Lp(g)
2. Up(f) = Up(g)
3. Up(f) = Lp(g)
Transcribed Image Text:QUESTION 4 Let f(x) = 2x = {0, 1, c} c> 1, a partition of the interval O.cl: and with g(x) = 2x2, and Determine all the values ofc>1 such that 1. Lp) = Lp(g) 2. Up(f) = Up(g) 3. Up(f) = Lp(g)
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