For each of the following pairs of functions, either f(n) is in O(g(n)), f(n) is in (g(n)), or f(n) = (g(n)). For each pair, determine which relationship is correct. Justify your answer, using the method of limits discussed above.

e) f(n) = 10; g(n) = log 10.

f) f(n) = 2ⁿ; g(n) = 3ⁿ.

g) f(n) = 2ⁿ; g(n) = nⁿ