Please help me out fast. And make sure to Write and solve an inequality. Or it isn't right.
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has to be a <em>power</em> function in order to satisfy the recurrence pattern
In this case, we must assume a given function and check such assumption fulfill the given recurrence. Let suppose that , by algebra we have the following property:
(1)
And by the definition given in statement, we have the following conclusion:
(2)
Therefore, has to be a <em>power</em> function in order to satisfy the recurrence pattern
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