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3. (a) Prove by the Principle of Mathematical Induction that n? +n is divisible by 2 for any n E N*. (6 marks) (b)
3. (a) Prove by the Principle of Mathematical Induction that n? +n is divisible by 2 for any n E N*. (6 marks) (b) Consider the sequence of real numbers In = Prove by definition that rm converges to 0 as n o (8 marks) (c) Using the result from part (b), and using the Sandwich Theorem, find 1 lim n-0 n3 (6 marks) (Total 20 marks)
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Discrete Mathematics and Its Applications
Authors: Kenneth H. Rosen
7th edition
0073383090, 978-0073383095
