Solved: Prove that given a real number x there exist

Chapter 8, Problem 21E

(choose chapter or problem)

Get Unlimited Answers
QUESTION:

Problem 21E

Prove that given a real number x there exist unique numbers n and ϵ such that x = n – ϵ, n is an integer, and 0 ≤ ϵ<1.

Questions & Answers

QUESTION:

Problem 21E

Prove that given a real number x there exist unique numbers n and ϵ such that x = n – ϵ, n is an integer, and 0 ≤ ϵ<1.

ANSWER:

Solution:

Step1

Given that

We have to prove that given a real number x there exist unique numbers n and ϵ such that x = n – ϵ, n is an integer, and 0 ≤ ϵ<1.

Step2

Add to cart


Study Tools You Might Need

Not The Solution You Need? Search for Your Answer Here:

×

Login

Login or Sign up for access to all of our study tools and educational content!

Forgot password?
Register Now

×

Register

Sign up for access to all content on our site!

Or login if you already have an account

×

Reset password

If you have an active account we’ll send you an e-mail for password recovery

Or login if you have your password back