Solution Found!

Let / g C\a, ft], and let p be in the open interval (a, ft). a. Suppose f{p) ^ 0. Show

Chapter 1, Problem 30

(choose chapter or problem)

Get Unlimited Answers
QUESTION:

Let / g C\a, ft], and let p be in the open interval (a, ft). a. Suppose f{p) ^ 0. Show that a 5 > 0 exists with /(x) ^ 0, for all x in [/? 5, /? + 5], with fp (5, p + <5] a subset of [a, ft], b. Suppose /(p) = 0 and ft > 0 is given. Show that a 5 > 0 exists with |/(x)| < ft, for all x in [p (5, p + >5], with [p 5, p + 3] a subset of [a, ft].

Questions & Answers

QUESTION:

Let / g C\a, ft], and let p be in the open interval (a, ft). a. Suppose f{p) ^ 0. Show that a 5 > 0 exists with /(x) ^ 0, for all x in [/? 5, /? + 5], with fp (5, p + <5] a subset of [a, ft], b. Suppose /(p) = 0 and ft > 0 is given. Show that a 5 > 0 exists with |/(x)| < ft, for all x in [p (5, p + >5], with [p 5, p + 3] a subset of [a, ft].

ANSWER:

Step 1 of 3

A function  is said to be continuous at , if for every , there exists a , such that

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