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Determine whether each of the functions 2n+l and 22n is
Chapter 2, Problem 19E(choose chapter or problem)
QUESTION:
Problem 19E
Determine whether each of the functions 2n+l and 22n is O(2n).
Questions & Answers
QUESTION:
Problem 19E
Determine whether each of the functions 2n+l and 22n is O(2n).
ANSWER:Solution:
Step 1:
In this problem we need to determine whether each of the functions and is .
Note:
Let us consider f and g are functions from the set of integers to the set of real numbers.
The estimate value can be said that f(x) is O(g(x)) if there are constants C and k such that
, where C > 0 and x> k.The constants C and k are called the witnesses to the relationship.
The definition of f(x) is O(g(x)) says that f(x) grows slower than some fixed multiple of g(x) as x grows without bound.