Limit relations in asymptotic bounds

TAL

Exercises

1. Find two functions, such that $f(n)\in \Theta (g(n))\nRightarrow \lim \frac{f(n)}{g(n)}=a$
2. Show that ${\log }_a(n)\in \Theta ({\log }_b(n))$. Hint: \log_a(n)