Let f (n) and g(n) be positive functions (for any n they give positive values) and f (n) = O(g(n)). Prove or disprove the following statement:
Let f (n) and g(n) be positive functions (for any n they give positive values) and f (n) = O(g(n)). Prove or disprove the following statement:
Chapter3: Data Representation
Section: Chapter Questions
Problem 13VE: A(n) __________ contains 8 __________.
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Let f (n) and g(n) be positive functions (for any n they give positive values) and f (n) = O(g(n)).
Prove or disprove the following statement:
Transcribed Image Text:2.f(n) = 0(28(n))
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Is this answer correct? It seems as if you mention that 2^(f(n)) is always an upper bound for 2^(c*g(n)), which is not right consider the statement (should be the other way around). Also, how does this statement, "Since 2 f(n) is an exponential function with a positive base, it grows much faster than any polynomial function g(n)." give us any inference on the upper bound?
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