Prove that 2n < n! for all n > 4, n N.

Question:

Prove that 2n < n! for all n > 4, n ∈ N.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Introduction to Real Analysis

ISBN: 978-0471433316

4th edition

Authors: Robert G. Bartle, Donald R. Sherbert

See More Books

Question Posted: Apr 07, 2016 10:51 AM

See More Questions

Prove that 2n < n! + 2 for n N.
Prove that 2n 3 < 2n-2 for all n > 5, n N.
Prove that 2n > n2 if n is an integer greater than 4.
Fox rented a house from Chiodini, but before he moved in, he noticed exposed electrical wiring in the basement, so he refused to move in. City inspectors confirmed a code violation and Chiodini fixed...
Brooks City has three consolidated high schools, each with a capacity of 1,200 students. The school board has partitioned the city into five busing districtsnorth, south, east, west, and centraleach...
Suppose that 1 2 (x) dx = 5. Find a. b. c. d. .2 S f(u) du
What informal lines of communication are used in this class among you, your peers, your teaching assistant, and your professor? How do you utilize these lines of communication to be successful in...
A company buys a machine for $61,700 on January 1, 2008. The maintenance costs for the years 20082011 are as follows: 2008, $4,900; 2009, $4,700; 2010, $12,400 (includes $7,800 for cost of a new...
The market value of a company: decreases as WACC decreases without affecting stockholders wealth increases as WACC decreases and thus shareholders wealth is also increased increases dividend pay-out...
Explain why it is preferable to separate a dilute mixture of benzoic acid in water by liquidliquid extraction rather than distillation.
Prove that 1/1 2 + 3 + + 1/n(n + 1) = n/(n + 1) for all n N.
Find all natural numbers n such that n2 < 2n. Prove your assertion.
A portion of the current assets section of the December 31, 2011, balance sheet for Carr Co. is presented here: The company's accounting records revealed the following information for the year ended...
Sams old friend Dot is considering setting up a business offering historical boating trips along the River Thames. Dot thinks that she may be able to make a good living out of this. She has carried...
Arrow Industries employs a standard cost system in which direct materials inventory is carried at standard cost. Arrow has established the following standards for the direct costs of one unit of...
Explain the financial effect (increase, decrease, or no effect) of each of the following transactions on stockholders' equity: a. Purchased supplies for cash. b. Paid an account payable. c. Paid...
What type of account-asset, liability, stockholders' equity, dividend, revenue, or expense-is each of the following accounts? Indicate whether a debit entry or a credit entry increases the balance of...
Is it possible for an accounting transaction to only affect the left side of the accounting equation and still leave the equation in balance? If so, provide an example.
A signature is contained in a (a) Secret key (b) Certificate (c) Public key (d) None of the above
The figure shows a bolted lap joint that uses SAE grade 8 bolts. The members are made of cold-drawn AISI 1040 steel. Find the safe tensile shear load F that can be applied to this connection if the...
Show that By comparing the integrand to a simpler function 10
Find a function f and a number such that For all x > 0 6
A manufacturing company owns a major piece of equipment that depreciates at the (continuous) rate f = f(t) , where is the time measured in months since its last overhaul. Because a fixed cost A is...
Regarding research and experimental expenditures, which of the following are not qualified expenditures? 3 a. costs of ordinary testing of materials b. costs to develop a plant process c. costs of...
Port Ormond Carpet Company manufactures carpets. Fiber is placed in process in the Spinning Department, where it is spun into yarn. The output of the Spinning Department is transferred to the Tufting...
Oct. 31: Paid salaries, $45,000 ( 75% selling, 25% administrtive). Data table Data table them to retail stores. The company has three inventory items: and floor lamps. RLC uses a perpetual inventory...

Prove that 2n < n! for all n > 4, n N.

Question:

Step by Step Answer:

If n 4 then 2 ...View the full answer

Introduction to Real Analysis

Students also viewed these Calculus questions