?Show that, for \(x>0\),\(\frac{x}{1+x^{2}}<\tan ^{-1} x<x\)Equation Transcription:Text

Chapter 15, Problem 83

(choose chapter or problem)

Get Unlimited Answers
QUESTION:

Show that, for \(x>0\),

\(\frac{x}{1+x^{2}}<\tan ^{-1} x<x\)

Equation Transcription:

Text Transcription:

x>0

x/1+x^2 < tan^-1 x < x

Questions & Answers

QUESTION:

Show that, for \(x>0\),

\(\frac{x}{1+x^{2}}<\tan ^{-1} x<x\)

Equation Transcription:

Text Transcription:

x>0

x/1+x^2 < tan^-1 x < x

ANSWER:

Step 1 of 2

We need to show that  for

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