Please help me with these problems. Try your best. For any given x R show that [

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Please help me with these problems. Try your best.

For any given x R show that [x] + 1 > x where [x] the largest interger which is less than on equal to x Show that the sequence is not bounded by using the definition ( m > 0, not every bj satifies |bj| M some i, j, Such that |bj| > M) Prepostion 3.2 if and then shoe that if then there exists a N N such that j > N bj > 0 Show that if {aj} converge to alpha then {|aj|} converges to |alpha|. what about the converse? (if {|aj|}) converges to |alpha|, does {aj} converge?

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