Prove that 2e 5 2 sin (Tx/4)+1/2 dx ≤ 2e-1 1+2√2 (i) Show that zloga 7/4 dx - (log) (log x)-3/4 (ii) Hence determine whether the series n= 1 n(logn) 7/4 is convergent or divergent.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Prove that
2e
5
2 sin (Tx/4)+1/2
dx ≤
2e-1
1+2√2
(i) Show that
zloga 7/4
dx
-
(log)
(log x)-3/4
(ii) Hence determine whether the series
n=
1
n(logn) 7/4
is convergent or divergent.
Transcribed Image Text:Prove that 2e 5 2 sin (Tx/4)+1/2 dx ≤ 2e-1 1+2√2 (i) Show that zloga 7/4 dx - (log) (log x)-3/4 (ii) Hence determine whether the series n= 1 n(logn) 7/4 is convergent or divergent.
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