Exercise 1.kle consider the sequence (Un) defined for 17/2.Un = Un-1 + 3 4n-2 with loro andbyus givenreal numbers satisfying 4ell₁ + 30₂ 309.) Show that Unzo Anz2 and that the sequenceis mereasing.Jun/17, 3b.) show that Un > (3n-1) 43 +175 anddeduce thatLim Unnto(109

Here we use the definition of monotonically increasing sequence in step (2) and in step (4) we use…

Answered: kle consider the sequence (Un) defined…

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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kle consider the sequence (Un) defined for 17, 2. = Un-1 + 3 Up-2 with loro and real numbers satisfying tells + 300 30 Un by us given Show that Unso Anz2 and that the sequence. (un) 17,3 is mcreasing. 7 show that Un > (30-1) 43 + 7,5 and deduce that Lim Un = +∞ nto