(vi) 5. Do the following sequences converge as n → 0? Prove or disprove. 1/2 (i) 1/n en 1,6 / cos(r)a* ( log -)°dx, (ii) / x" (log x)°dx, (iii) COS е 2 (iv) /" COS x -dx, x² cos (x³)dx, x cos(a³)dx. (v). (vi) COS 3

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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please solve (v) and (vi)
5. Do the following sequences converge as n → o? Prove or disprove.
(i)
cos(x)xª ( log –)°dx,
(ii) "z"(log a)^dzr, (ii) /"e-VF dz
1/n
1
COS X
dx,
(v) ° cos(a*)dr,
x cos(x°)dx.
(iv
(w)
(vi)
Transcribed Image Text:5. Do the following sequences converge as n → o? Prove or disprove. (i) cos(x)xª ( log –)°dx, (ii) "z"(log a)^dzr, (ii) /"e-VF dz 1/n 1 COS X dx, (v) ° cos(a*)dr, x cos(x°)dx. (iv (w) (vi)
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