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Edit View History Bookmarks Develop Window Help edugen wileyplus.com Yahoo Bing Google Wikipedia Google Yahoo Student-Solu 81118217368 it is ethica US Hughes-Hallett, Calculus: Single Variable, 7e & Practice Gradebook ORION URCES Set Chapter 9, Section 9.1, Question 015 LL. Incorrect. Match formulas (a)-(e) with descriptions (1)-(V) of the behavior of the sequence as n (I) Diverges to - a (II) Diverges to +u (III) Converges to 0 through positive numbers (IV) Converges to 1 (V) Converges to O through positive and negative numbers. ection 9.1.(e) n-1- (d) s" = cos- ectien 9.1 ection 9.1 Section 9.1 sin (e) s Click if you would like to Show Work for this question: Open Show Work

Explanation / Answer

(a)

lim[n->]sn =lim[n->] n(n+1) -1

=>lim[n->]sn =lim[n->] n2+n -1

=>lim[n->]sn =+ -1

=>lim[n->]sn =

diverges to +

(b)

lim[n->]sn =lim[n->] 1/(n+1)

=>lim[n->]sn =0

converges to 0 through positive numbers

(c)

lim[n->]sn =lim[n->] 1 -n2

=>lim[n->]sn =1-lim[n->] n2

=>lim[n->]sn =1-

=>lim[n->]sn =-

diverges to -

(d)

lim[n->]sn =lim[n->] cos(1/n)

=>lim[n->]sn =cos(0)

=>lim[n->]sn = 1

converges to 0 through positive and negative numbers

(e)

lim[n->]sn =lim[n->] (sinn /n)

sin n ranges from [-1 to 1]

=>lim[n->]sn =0

converges to 0 through positive and negative numbers

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