Use the definition of -notation to show that is . (Hint: Show that if , then .)
That using the definition of notation.
If then, is given as a hint.
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 .
Let , for any integer .
For all , and
For all we can show that,
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