Question 2 True or False? For positive valued functions g and h, if f(n) 0(g(n)) and g(n) 0(h(n)), then f(n) 0(h(n)). O True O Fahe

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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**Question 2**

True or False? For positive valued functions \( g \) and \( h \), if \( f(n) = O(g(n)) \) and \( g(n) = O(h(n)) \), then \( f(n) = O(h(n)) \).

- [ ] True
- [ ] False

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**Question 3**

True or False? If \( g_1(n) = O(f(n)) \) and \( g_2(n) = O(f(n)) \), then \( g_1 + g_2 = O(f(n)) \).

- [ ] True
- [ ] False
Transcribed Image Text:**Question 2** True or False? For positive valued functions \( g \) and \( h \), if \( f(n) = O(g(n)) \) and \( g(n) = O(h(n)) \), then \( f(n) = O(h(n)) \). - [ ] True - [ ] False --- **Question 3** True or False? If \( g_1(n) = O(f(n)) \) and \( g_2(n) = O(f(n)) \), then \( g_1 + g_2 = O(f(n)) \). - [ ] True - [ ] False
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