Question: a. Prove that (x) = x - ln x is increasing for x > 1. b. Using part (a), show that ln x < x

a. Prove that ƒ(x) = x - ln x is increasing for x > 1.

b. Using part (a), show that ln x < x if x > 1.

Step by Step Solution

3.31 Rating (157 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

a To prove that x x ln x is increasing for x 1 we need to show that the derivative of x with respect ... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Precalculus Questions!