EECS 1019 Lecture Notes - Lecture 4: Mase, Opata Language
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EECS 1019 Full Course Notes
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Notes: the assignment can be handwritten or typed. It must be legible: you must do this assignment individually, submit this assignment only if you have read and understood the policy on academic honesty on the course web page. Please do not send les by email: your answers should be precise and concise. Points may be deducted for long, rambling arguments: assume r to denote the real numbers, z to denote the set of integers (. , 2, 1, 0, 1, 2, . and n to denote the natural numbers (1, 2, 3, . Solution: since (n + 1)3 = n3 + 3n2 + 3n + 1. N3 + 3n3 + 3n3 + n3. = 8n3 for n > 0 it follows that (n + 1)3 o(n3). Similarly since (n + 1)3 > n3 for n > 0, it follows that (n + 1)3 (n3). [5 points] prove that 8n3 + n (n3).