Question

Argue that n! dominates any polynomial function of n, i.e, n^a=O(n!) for any real a.

Argue that n! dominates any polynomial function of n, i.e, n^a=O(n!) for any real a.

Math   Advanced-Math   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Argue that n! dominates any polynomial function of n, i.e, n^a=O(n!) for any real a.

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Prove any polynomial of an odd degree must have a real root.
Prove any polynomial of an odd degree must have a real root.
show that any polynomial of odd degree has at least one real root
show that any polynomial of odd degree has at least one real root
:The exponential function f(x) = e x dominates any ”power of x” function as x increases...
:The exponential function f(x) = e x dominates any ”power of x” function as x increases to infinity. That is lim x k e x = 0 for every positive value k. Use the power series given below to verify this fact. e x = 1 + x + x 2 2! + x 3 3! + x 4 4! + x 5 5! + ...
Assume that f(n) = O(g(n)). Can g(n) = O(f(n))? Are there cases where g(n) is not...
Assume that f(n) = O(g(n)). Can g(n) = O(f(n))? Are there cases where g(n) is not O(f(n))? Prove your answers (give examples for the possible cases as part of your proofs, and argue the result is true for your example).
Find a polynomial function with real coefficients and least degree having zeros 2 – i, 3...
Find a polynomial function with real coefficients and least degree having zeros 2 – i, 3 and -1.
Use the intermediate value theorem (only) to prove that any real polynomial of odd degree has...
Use the intermediate value theorem (only) to prove that any real polynomial of odd degree has at least one real solution. Is the same conclusion true if the degree is even?
Construct a polynomial function with the following properties: third degree, only real coefficients, −5 − 5...
Construct a polynomial function with the following properties: third degree, only real coefficients, −5 − 5 and 2+i 2 + i are two of the zeros, y-intercept is −25 − 25
5. Find Taylor polynomial of degree n, at x = c, for the given function. (a)...
5. Find Taylor polynomial of degree n, at x = c, for the given function. (a) f(x) = sin x, n = 3, c = 0 (b) f(x) = p (x), n = 2, c = 9
in exercises 47-50, find the polynomial function f with real coefficients that has the given degree,...
in exercises 47-50, find the polynomial function f with real coefficients that has the given degree, zeros, and solution point. degree 3. zeros -3, 1+ square root 3i. solution point f(-2)=12
Consider function f (n) = 3n^2 + 9n + 554. Prove f(n) = O(n^2) Prove that...
Consider function f (n) = 3n^2 + 9n + 554. Prove f(n) = O(n^2) Prove that f(n) = O(n^3)
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT