Determine the proper relationship between the following pair of functions.

f(n) = 10
g(n) = \log 10

f(n)is \Theta(g(n))
  • f(n) is in \Omega(g(n))
  • f(n) is in O(g(n))

if \lim \frac{f(n)}{g(n)} \rightarrow 0, then f(n) is in O(g(n)).

if \lim \frac{f(n)}{g(n)} \rightarrow constant, then f(n) is \Theta(g(n)).

if \lim \frac{f(n)}{g(n)} \rightarrow \infty, then f(n) is in \Omega(g(n)).