11. Answer by TRUE of FALSE each of the statements: (i) 4x³ + x² ln x¹ = O(x³). (ii) x³ + 4x + 15 = N(x¹). (iii) 2x²+x-7= 0(x²).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
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please i want a justification for each of these questions

 i want to understand the solution of each part

11. Answer by TRUE of FALSE each of the statements:
(i) 4x³ + x² ln ª = O(x³).
(ii) x³ + 4x + 15 = N(x4).
(ii) 2л2 + х — 7%3D Ө(г?).
(iv) 1² + 2² + ...+ n² = O(n³).
(v) (x² = O(x*)) ^ (x* = 0(x²)).
Solution: (i) T; (ii) F; (iii) T; (iv) T; (v) F¿
Transcribed Image Text:11. Answer by TRUE of FALSE each of the statements: (i) 4x³ + x² ln ª = O(x³). (ii) x³ + 4x + 15 = N(x4). (ii) 2л2 + х — 7%3D Ө(г?). (iv) 1² + 2² + ...+ n² = O(n³). (v) (x² = O(x*)) ^ (x* = 0(x²)). Solution: (i) T; (ii) F; (iii) T; (iv) T; (v) F¿
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