question 1 : Prove that a sequence which is bounded above cannot tend to infinity(adsbygoogle = window.adsbygoogle || []).push({});

What i did was state the definition ... but I'm trying to proof by contradiction. So i first suppose that a(n) tends to infinity , then a(n) > C . But since it is bounded above , C < or = to U , where U is the upper bound .

This is where i got stuck. Any ideas ?

question 2 : I am required to prove the this sequence does not tend to infinity

B(n) = cos(n^2 + 7)

how am i suppose to do this ?

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# Homework Help: Prove that a sequence which is bounded above cannot tend to infinity

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