Given find an interval I = (4 – ?, 4), ? > 0, such that if

Chapter 2, Problem 48E

(choose chapter or problem)

Get Unlimited Answers
QUESTION:

Give \(\epsilon>0 \text {, find an interval } I=(4-\delta, 4), \delta>0, \text { such that if } x \text { lies in } I \text {, then } \sqrt{4-x}<\epsilon \text {. }\) What limit is being verified and what is its value?

Equation  Transcription:

Text Transcription:

Epsilon > 0

Vertical bar=(4-delta,4). Delta > 0

Square root 4-x < epsilon

Questions & Answers

QUESTION:

Give \(\epsilon>0 \text {, find an interval } I=(4-\delta, 4), \delta>0, \text { such that if } x \text { lies in } I \text {, then } \sqrt{4-x}<\epsilon \text {. }\) What limit is being verified and what is its value?

Equation  Transcription:

Text Transcription:

Epsilon > 0

Vertical bar=(4-delta,4). Delta > 0

Square root 4-x < epsilon

ANSWER:

Solution:

Step 1 of 2 :

In this problem, we need to find an interval , such that if x lies in , then , and then find what limit is being verified and what is its value.

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