Exercise $1$ Going back to Example $5,$ suppose you are trying out different pairs of

constants $C$ and $k$ that fit the Big$-$O definition $($the ones we picked there, $C=20$ and

$k=1000,$ are not the only ones we could have picked; in fact, an infinite number of

such pairs fit the definition.$)$

Suppose you try $C=5.$ Is there a value of $k$ such that $T(n)5n$ for all $n>k?$