Determine whether the sequence {an} defined below is(adsbygoogle = window.adsbygoogle || []).push({});

(a) monotonic

(b) bounded

(c) convergent and if so determine the limit.

(1) {an}=(sqrt(n))/1000

a) it is monotonic as the sequence increase as n increases.

b) it's not bounded (but i'm not sure why)

c) divergent since limit doesnt exit (tends to infinity)

is this correct?

(2) {an}=(-2n^2)/((4n^2)-1)

i dont know how to answer parts (a) (b) and (c) to this one can someone help me please.

thank you

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# Determine if a sequence {an} is monotonic, bounded, convergent

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