?(a) Use a graph to find a number \(\delta\) such thatif \(2<x<2+\delta\) then

Chapter 2, Problem 9

(choose chapter or problem)

Get Unlimited Answers
QUESTION:

(a) Use a graph to find a number \(\delta\) such that

if \(2<x<2+\delta\) then \(\frac{1}{\ln (x-1)}>100\)

(b) What limit does part (a) suggest is true?

Questions & Answers

QUESTION:

(a) Use a graph to find a number \(\delta\) such that

if \(2<x<2+\delta\) then \(\frac{1}{\ln (x-1)}>100\)

(b) What limit does part (a) suggest is true?

ANSWER:

Step 1 of 3

The expression given . We need to obtain a value for  so that the following condition  must be true.

                                                 

Taking logarithm for all the three

                                       

It is given

Therefore, we need to compare  and

 

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