$4\mathrm{.}5-5**$

Consider the regularity condition $af(\frac{n}{b})cf(n)$ for some constant

which is part of case $3$ of the master theorem. Give an example of constants $a1$

and $b>1$ and a function $f(n)$ that satisfies all the conditions in case $3$ of the

master theorem except the regularity condition.

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