1.The functions f and g from the set of real numbers to the set of real
numbers are asymptotic or f~g if lim x(∞ f(x)/g(x)=1.
Let f(x) = log (1+x2) and g(x) = log x.
Prove that f(x) is g(x)) but fand g are not asymptotic.
Mathematics Homework Solutions
#83508
Discrete mathematics Growth Functions big oh big theta
(See attached file for full problem description with proper symbols)
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1.The functions f and g from the set of real numbers to the set of real numbers are asymptotic or f~g if lim x∞ f(x)/g(x)=1.
Let f(x) = log (1+x2) and g(x) = log x.
Prove that f(x) is g(x)) but fand g are not asymptotic.
This shows how to prove that functions are not asymptotic.
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