- #1
garyljc
- 103
- 0
question 1 : Prove that a sequence which is bounded above cannot tend to infinity
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 ?
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 ?