Prove Theorem 11.2.7(a): If f is a real-valued function defined on a set of nonnegative integers
That for every , .
is a real-valued function where is any non-negative integer and there exists a real number such that for every , .
Let and be real valued functions defined on the same nonnegative integers, with for every integer , where is positive real number.
is of order , written , if and only if, there exist positive real numbers and such that
for every integer .
Suppose there exists an integer such that ,
Then, it is clear that for every
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