Use the definitions of O notations, N notations and O notations to give a direct proof that function f (n) = [n] is O(n). Remind that [n] = max{x € Z | x < n }, for example, [3] = 3, [T] = 3, [-2.5] = –3. %3D

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Use the definitions of 0 notations, N notations and O notations to give a direct proof that function f (n)
is O(n). Remind that [n] = max{x € Z| x <n }, for example, [3] = 3, [T] = 3, [–2.5] = -3.
3.
[n]
%3D
Transcribed Image Text:Use the definitions of 0 notations, N notations and O notations to give a direct proof that function f (n) is O(n). Remind that [n] = max{x € Z| x <n }, for example, [3] = 3, [T] = 3, [–2.5] = -3. 3. [n] %3D
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