2i Part (a) lim EI=n 2 n V n i=1 n-00

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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Evaluate the following Riemann sums:
Part (a) lim E=n 2 2i
n V n
n-00
Part (b) lim Ei=n 2
2i
1+
i=1
n→00
=n 3 |2i
Part (c) lim EE
i
i=1
n
n-00
2i
Part (d) lim Si=n 2
vi=1
n
Зп
n→00
2i
Part (e) lim =n_2
Li=1
n→00
n2
Transcribed Image Text:Evaluate the following Riemann sums: Part (a) lim E=n 2 2i n V n n-00 Part (b) lim Ei=n 2 2i 1+ i=1 n→00 =n 3 |2i Part (c) lim EE i i=1 n n-00 2i Part (d) lim Si=n 2 vi=1 n Зп n→00 2i Part (e) lim =n_2 Li=1 n→00 n2
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