n 1 (p > 0). NP+1 k=1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Could you please help with solving Problem 4

Problem 4. Find a Riemann integrable function f (x) on the interval [0, 1]
such that the formula for the Riemann sum with n equal intervals and the
right endpoints equals the following sum
1
P (p>0).
NP+1
k=1
Using Riemann's Theorem and the Fundamental Theorem of Calculus evaluate
the limit
1
lim
n→+∞ nP+1
kP.
Transcribed Image Text:Problem 4. Find a Riemann integrable function f (x) on the interval [0, 1] such that the formula for the Riemann sum with n equal intervals and the right endpoints equals the following sum 1 P (p>0). NP+1 k=1 Using Riemann's Theorem and the Fundamental Theorem of Calculus evaluate the limit 1 lim n→+∞ nP+1 kP.
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